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2013 | OriginalPaper | Chapter

1. Uniformities and Topologies

Author : Jan Pachl

Published in: Uniform Spaces and Measures

Publisher: Springer New York

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Abstract

In this chapter I define uniform structures and uniformly continuous mappings in the language of pseudometrics. I derive their basic properties and their relationship to topologies.

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Literature
1.
go back to reference Aguayo-Garrido, J.: Weakly compact operators and the Dunford-Pettis property on uniform spaces. Ann. Math. Blaise Pascal 5(2), 1–6 (1998)MathSciNetCrossRefMATH Aguayo-Garrido, J.: Weakly compact operators and the Dunford-Pettis property on uniform spaces. Ann. Math. Blaise Pascal 5(2), 1–6 (1998)MathSciNetCrossRefMATH
2.
go back to reference Alexandroff, A.D.: Additive set-functions in abstract spaces. Rec. Math. [Mat. Sbornik] N. S. 8(50), 307–348 (1940); 9(51), 563–628 (1941); 13(55), 169–238 (1943) Alexandroff, A.D.: Additive set-functions in abstract spaces. Rec. Math. [Mat. Sbornik] N. S. 8(50), 307–348 (1940); 9(51), 563–628 (1941); 13(55), 169–238 (1943)
4.
go back to reference Arkhangel′skiĭ, A.V.: Classes of topological groups. Uspekhi Mat. Nauk 36(3 [219]), 127–146, 255 (1981). In Russian. English translation: Russian Math. Surveys 36, 3 (1981), 151–174 Arkhangelskiĭ, A.V.: Classes of topological groups. Uspekhi Mat. Nauk 36(3 [219]), 127–146, 255 (1981). In Russian. English translation: Russian Math. Surveys 36, 3 (1981), 151–174
5.
go back to reference Badrikian, A.: Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques. Lecture Notes in Mathematics, vol. 139. Springer, Berlin (1970) Badrikian, A.: Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques. Lecture Notes in Mathematics, vol. 139. Springer, Berlin (1970)
6.
go back to reference Bentley, H.L., Herrlich, H., Hušek, M.: The historical development of uniform, proximal, and nearness concepts in topology. In: Handbook of the History of General Topology, vol. 2, pp. 577–629. Kluwer Academic, Dordrecht/Boston/London (1998) Bentley, H.L., Herrlich, H., Hušek, M.: The historical development of uniform, proximal, and nearness concepts in topology. In: Handbook of the History of General Topology, vol. 2, pp. 577–629. Kluwer Academic, Dordrecht/Boston/London (1998)
7.
go back to reference Berezanskiĭ, I.A.: Measures on uniform spaces and molecular measures. Trudy Moskov. Mat. Obšč. 19, 3–40 (1968). In Russian. English translation: Trans. Moscow Math. Soc. 19 (1968), 1–40 Berezanskiĭ, I.A.: Measures on uniform spaces and molecular measures. Trudy Moskov. Mat. Obšč. 19, 3–40 (1968). In Russian. English translation: Trans. Moscow Math. Soc. 19 (1968), 1–40
8.
go back to reference Berglund, J.F., Junghenn, H.D., Milnes, P.: Analysis on Semigroups. Wiley, New York (1989)MATH Berglund, J.F., Junghenn, H.D., Milnes, P.: Analysis on Semigroups. Wiley, New York (1989)MATH
9.
go back to reference Berruyer, J., Ivol, B.: Espaces de mesures et compactologies. Publ. Dép. Math. (Lyon) 9(1), 1–35 (1972) Berruyer, J., Ivol, B.: Espaces de mesures et compactologies. Publ. Dép. Math. (Lyon) 9(1), 1–35 (1972)
12.
go back to reference Bourbaki, N.: Éléments de Mathématique. Topologie générale. Ch. I et II. Hermann & Cie., Paris (1940)MATH Bourbaki, N.: Éléments de Mathématique. Topologie générale. Ch. I et II. Hermann & Cie., Paris (1940)MATH
13.
go back to reference Bourbaki, N.: Éléments de Mathématique. Intégration. Ch. 7 et 8. Hermann, Paris (1963) Bourbaki, N.: Éléments de Mathématique. Intégration. Ch. 7 et 8. Hermann, Paris (1963)
14.
go back to reference Bouziad, A., Troallic, J.P.: A precompactness test for topological groups in the manner of Grothendieck. Topol. Proc. 31(1), 19–30 (2007)MathSciNetMATH Bouziad, A., Troallic, J.P.: A precompactness test for topological groups in the manner of Grothendieck. Topol. Proc. 31(1), 19–30 (2007)MathSciNetMATH
15.
go back to reference Buchwalter, H.: Topologies et compactologies. Publ. Dép. Math. (Lyon) 6(2), 1–74 (1969) Buchwalter, H.: Topologies et compactologies. Publ. Dép. Math. (Lyon) 6(2), 1–74 (1969)
16.
go back to reference Buchwalter, H.: Fonctions continues et mesures sur un espace complètement régulier. In: Summer School on Topological Vector Spaces (Univ. Libre Bruxelles, Brussels, 1972). Lecture Notes in Mathematics, vol. 331, pp. 183–202. Springer, Berlin (1973) Buchwalter, H.: Fonctions continues et mesures sur un espace complètement régulier. In: Summer School on Topological Vector Spaces (Univ. Libre Bruxelles, Brussels, 1972). Lecture Notes in Mathematics, vol. 331, pp. 183–202. Springer, Berlin (1973)
17.
go back to reference Buchwalter, H.: Le rôle des partitions continues de l’unité dans la théorie des mesures scalaires ou vectorielles. In: Vector space measures and applications (Proc. Conf., Univ. Dublin, Dublin, 1977), vol. I. Lecture Notes in Mathematics, vol. 644, pp. 83–95. Springer, Berlin (1978) Buchwalter, H.: Le rôle des partitions continues de l’unité dans la théorie des mesures scalaires ou vectorielles. In: Vector space measures and applications (Proc. Conf., Univ. Dublin, Dublin, 1977), vol. I. Lecture Notes in Mathematics, vol. 644, pp. 83–95. Springer, Berlin (1978)
18.
go back to reference Buchwalter, H., Pupier, R.: Complétion d’un espace uniforme et formes linéaires. C. R. Acad. Sci. Paris Sér. A–B 273, A96–A98 (1971) Buchwalter, H., Pupier, R.: Complétion d’un espace uniforme et formes linéaires. C. R. Acad. Sci. Paris Sér. A–B 273, A96–A98 (1971)
19.
go back to reference Budak, T., Işık, N., Pym, J.S.: Minimal determinants of topological centres for some algebras associated with locally compact groups. Bull. Lond. Math. Soc. 43, 495–506 (2011)MathSciNetCrossRefMATH Budak, T., Işık, N., Pym, J.S.: Minimal determinants of topological centres for some algebras associated with locally compact groups. Bull. Lond. Math. Soc. 43, 495–506 (2011)MathSciNetCrossRefMATH
20.
go back to reference Caby, E.: Convergence of measures on uniform spaces. Thesis, University of California, Berkeley (1976) Caby, E.: Convergence of measures on uniform spaces. Thesis, University of California, Berkeley (1976)
24.
go back to reference Čech, E.: Topological Spaces. Czechoslovak Academy of Sciences, Prague (1966)MATH Čech, E.: Topological Spaces. Czechoslovak Academy of Sciences, Prague (1966)MATH
25.
go back to reference Choquet, G.: Étude des spaces uniformes à partir de la notion d’écart. Enseignement Mathematique (2) 11, 170–174 (1965) Choquet, G.: Étude des spaces uniformes à partir de la notion d’écart. Enseignement Mathematique (2) 11, 170–174 (1965)
26.
go back to reference Choquet, G.: Mesures coniques, affines et cylindriques. In: Symposia Mathematica, vol. II (INDAM, Rome, 1968), pp. 145–182. Academic, London (1969) Choquet, G.: Mesures coniques, affines et cylindriques. In: Symposia Mathematica, vol. II (INDAM, Rome, 1968), pp. 145–182. Academic, London (1969)
27.
go back to reference Christensen, J.P.R.: Topology and Borel structure. North-Holland Mathematics Studies, vol. 10. North-Holland, Amsterdam (1974) Christensen, J.P.R.: Topology and Borel structure. North-Holland Mathematics Studies, vol. 10. North-Holland, Amsterdam (1974)
28.
go back to reference Christensen, J.P.R., Pachl, J.: Measurable functionals on function spaces. Ann. Inst. Fourier (Grenoble) 31(2), 137–152 (1981) Christensen, J.P.R., Pachl, J.: Measurable functionals on function spaces. Ann. Inst. Fourier (Grenoble) 31(2), 137–152 (1981)
29.
go back to reference Cooper, J.B.: Saks spaces and applications to functional analysis. North-Holland Mathematics Studies, vol. 139, 2nd edn. North-Holland, Amsterdam (1987) Cooper, J.B.: Saks spaces and applications to functional analysis. North-Holland Mathematics Studies, vol. 139, 2nd edn. North-Holland, Amsterdam (1987)
30.
go back to reference Cooper, J.B., Schachermayer, W.: Uniform measures and co-Saks spaces. In: Functional Analysis, Holomorphy, and Approximation Theory (Rio de Janeiro, 1978). Lecture Notes in Mathematics, vol. 843, pp. 217–246. Springer, Berlin (1981) Cooper, J.B., Schachermayer, W.: Uniform measures and co-Saks spaces. In: Functional Analysis, Holomorphy, and Approximation Theory (Rio de Janeiro, 1978). Lecture Notes in Mathematics, vol. 843, pp. 217–246. Springer, Berlin (1981)
31.
go back to reference Császár, Á.: General Topology. Adam Hilger Ltd., Bristol (1978) Császár, Á.: General Topology. Adam Hilger Ltd., Bristol (1978)
32.
go back to reference Csiszár, I.: On the weak* continuity of convolution in a convolution algebra over an arbitrary topological group. Studia Sci. Math. Hungar. 6, 27–40 (1971)MathSciNet Csiszár, I.: On the weak* continuity of convolution in a convolution algebra over an arbitrary topological group. Studia Sci. Math. Hungar. 6, 27–40 (1971)MathSciNet
33.
go back to reference Dales, H.G., Lau, A.T.M., Strauss, D.: Banach algebras on semigroups and on their compactifications. Mem. Am. Math. Soc. 205(966) (2010) Dales, H.G., Lau, A.T.M., Strauss, D.: Banach algebras on semigroups and on their compactifications. Mem. Am. Math. Soc. 205(966) (2010)
34.
go back to reference D’Aristotile, A., Diaconis, P., Freedman, D.: On merging of probabilities. Sankhyā Ser. A 50(3), 363–380 (1988)MathSciNetMATH D’Aristotile, A., Diaconis, P., Freedman, D.: On merging of probabilities. Sankhyā Ser. A 50(3), 363–380 (1988)MathSciNetMATH
36.
go back to reference Deaibes, A.: Espaces uniformes et espaces de mesures. Publ. Dép. Math. (Lyon) 12(4), 1–166 (1975) Deaibes, A.: Espaces uniformes et espaces de mesures. Publ. Dép. Math. (Lyon) 12(4), 1–166 (1975)
37.
go back to reference Deaibes, A.: Caractérisation des mesures qui intègrent toutes les fonctions réelles mesurables. Publ. Dép. Math. (Lyon) 15(3), 75–80 (1978) Deaibes, A.: Caractérisation des mesures qui intègrent toutes les fonctions réelles mesurables. Publ. Dép. Math. (Lyon) 15(3), 75–80 (1978)
38.
go back to reference Deaibes, A.: Mesures sur les espaces uniformes de type (σ1 ∞ ). Publ. Dép. Math. (Lyon) 15(3), 63–73 (1978) Deaibes, A.: Mesures sur les espaces uniformes de type (σ1 ). Publ. Dép. Math. (Lyon) 15(3), 63–73 (1978)
39.
40.
go back to reference Deaibes, A., Pupier, R.: Sur la sommabilité de familles de fonctions uniformément continues. Comment. Math. Univ. Carolin. 18(4), 741–753 (1977)MathSciNetMATH Deaibes, A., Pupier, R.: Sur la sommabilité de familles de fonctions uniformément continues. Comment. Math. Univ. Carolin. 18(4), 741–753 (1977)MathSciNetMATH
41.
go back to reference Dudley, R.M.: Convergence of Baire measures. Studia Math. 27, 251–268 (1966); Correction: Studia Math. 51, 275 (1974) Dudley, R.M.: Convergence of Baire measures. Studia Math. 27, 251–268 (1966); Correction: Studia Math. 51, 275 (1974)
42.
go back to reference Dudley, R.M.: Distances of probability measures and random variables. Ann. Math. Statist. 39, 1563–1572 (1968)MathSciNetMATH Dudley, R.M.: Distances of probability measures and random variables. Ann. Math. Statist. 39, 1563–1572 (1968)MathSciNetMATH
43.
go back to reference Dudley, R.M.: Probabilities and metrics. Matematisk Institut, Aarhus Universitet, Aarhus (1976). Lecture Notes Series No. 45 Dudley, R.M.: Probabilities and metrics. Matematisk Institut, Aarhus Universitet, Aarhus (1976). Lecture Notes Series No. 45
44.
go back to reference Dudley, R.M.: Real analysis and probability. Cambridge Studies in Advanced Mathematics, vol. 74. Cambridge University Press, Cambridge (2002); Revised reprint of the 1989 original Dudley, R.M.: Real analysis and probability. Cambridge Studies in Advanced Mathematics, vol. 74. Cambridge University Press, Cambridge (2002); Revised reprint of the 1989 original
45.
go back to reference Dunford, N., Schwartz, J.T.: Linear Operators. I. General Theory. Interscience Publishers, New York (1958)MATH Dunford, N., Schwartz, J.T.: Linear Operators. I. General Theory. Interscience Publishers, New York (1958)MATH
47.
go back to reference Engelking, R.: General Topology, 2nd edn. Heldermann Verlag, Berlin (1989)MATH Engelking, R.: General Topology, 2nd edn. Heldermann Verlag, Berlin (1989)MATH
48.
go back to reference Fabian, M., Habala, P., Hájek, P., Montesinos Santalucía, V., Pelant, J., Zizler, V.: Functional Analysis and Infinite-Dimensional Geometry. Springer, New York (2001) Fabian, M., Habala, P., Hájek, P., Montesinos Santalucía, V., Pelant, J., Zizler, V.: Functional Analysis and Infinite-Dimensional Geometry. Springer, New York (2001)
49.
go back to reference Fedorova, V.P.: A dual characterization of the completion and completeness of a uniform space. Mat. Sb. (N.S.) 64(106), 631–639 (1964); In Russian Fedorova, V.P.: A dual characterization of the completion and completeness of a uniform space. Mat. Sb. (N.S.) 64(106), 631–639 (1964); In Russian
50.
go back to reference Fedorova, V.P.: Linear functionals and Daniell integral on spaces of uniformly continuous functions. Mat. Sb. (N.S.) 74(116), 191–201 (1967); In Russian. English translation: Math. USSR – Sbornik 3, 177–185 (1967) Fedorova, V.P.: Linear functionals and Daniell integral on spaces of uniformly continuous functions. Mat. Sb. (N.S.) 74(116), 191–201 (1967); In Russian. English translation: Math. USSR – Sbornik 3, 177–185 (1967)
51.
go back to reference Fedorova, V.P.: Dual equivalents of ultracompleteness and paracompactness. Mat. Sb. (N.S.) 76 (118), 566–572 (1968); In Russian Fedorova, V.P.: Dual equivalents of ultracompleteness and paracompactness. Mat. Sb. (N.S.) 76 (118), 566–572 (1968); In Russian
52.
go back to reference Fedorova, V.P.: Daniell integrals on an ultracomplete uniform space. Mat. Zametki 16, 601–610 (1974); In Russian. English translation: Math. Notes 16, 950–955 (1974)MathSciNetCrossRefMATH Fedorova, V.P.: Daniell integrals on an ultracomplete uniform space. Mat. Zametki 16, 601–610 (1974); In Russian. English translation: Math. Notes 16, 950–955 (1974)MathSciNetCrossRefMATH
53.
go back to reference Fedorova, V.P.: Integral representations of functionals on spaces of uniformly continuous functions. Sibirsk. Mat. Zh. 23(5), 205–218, 225 (1982); In Russian. English translation: Siber. Math. J. 23, 753–762 (1983) Fedorova, V.P.: Integral representations of functionals on spaces of uniformly continuous functions. Sibirsk. Mat. Zh. 23(5), 205–218, 225 (1982); In Russian. English translation: Siber. Math. J. 23, 753–762 (1983)
54.
go back to reference Fedorova, V.P.: Linear functionals on spaces of uniformly continuous functions, and abstract measures. Mat. Zametki 36(5), 743–754, 799 (1984); In Russian. English translation: Math. Notes 36(5), 872–877 (1984) Fedorova, V.P.: Linear functionals on spaces of uniformly continuous functions, and abstract measures. Mat. Zametki 36(5), 743–754, 799 (1984); In Russian. English translation: Math. Notes 36(5), 872–877 (1984)
55.
go back to reference Ferri, S., Neufang, M.: On the topological centre of the algebra LUC(G) ∗  for general topological groups. J. Funct. Anal. 244(1), 154–171 (2007)MathSciNetCrossRefMATH Ferri, S., Neufang, M.: On the topological centre of the algebra LUC(G) ∗  for general topological groups. J. Funct. Anal. 244(1), 154–171 (2007)MathSciNetCrossRefMATH
56.
go back to reference Fortet, R., Mourier, E.: Convergence de la répartition empirique vers la répartition théorique. Ann. Sci. Ecole Norm. Sup. (3) 70, 267–285 (1953) Fortet, R., Mourier, E.: Convergence de la répartition empirique vers la répartition théorique. Ann. Sci. Ecole Norm. Sup. (3) 70, 267–285 (1953)
57.
go back to reference Fremlin, D.H.: Measure theory, vol. 1. The Irreducible Minimum, 2nd edn. Torres Fremlin, Colchester (2011) Fremlin, D.H.: Measure theory, vol. 1. The Irreducible Minimum, 2nd edn. Torres Fremlin, Colchester (2011)
58.
go back to reference Fremlin, D.H.: Measure theory, vol. 2. Broad Foundations, 2nd edn. Torres Fremlin, Colchester (2010) Fremlin, D.H.: Measure theory, vol. 2. Broad Foundations, 2nd edn. Torres Fremlin, Colchester (2010)
59.
go back to reference Fremlin, D.H.: Measure theory, vol. 3. Measure Algebras. Torres Fremlin, Colchester (2004). Corrected second printing Fremlin, D.H.: Measure theory, vol. 3. Measure Algebras. Torres Fremlin, Colchester (2004). Corrected second printing
60.
go back to reference Fremlin, D.H.: Measure theory, vol. 4. Topological Measure Spaces, Parts I, II. Torres Fremlin, Colchester (2006). Corrected second printing Fremlin, D.H.: Measure theory, vol. 4. Topological Measure Spaces, Parts I, II. Torres Fremlin, Colchester (2006). Corrected second printing
61.
go back to reference Fremlin, D.H.: Measure theory, vol. 5. Set-Theoretic Measure Theory, Parts I, II. Torres Fremlin, Colchester (2008) Fremlin, D.H.: Measure theory, vol. 5. Set-Theoretic Measure Theory, Parts I, II. Torres Fremlin, Colchester (2008)
63.
go back to reference Frolík, Z.: Mesures uniformes. C. R. Acad. Sci. Paris Sér. A–B 277, A105–A108 (1973) Frolík, Z.: Mesures uniformes. C. R. Acad. Sci. Paris Sér. A–B 277, A105–A108 (1973)
64.
go back to reference Frolík, Z.: Représentation de Riesz des mesures uniformes. C. R. Acad. Sci. Paris Sér. A–B 277, A163–A166 (1973) Frolík, Z.: Représentation de Riesz des mesures uniformes. C. R. Acad. Sci. Paris Sér. A–B 277, A163–A166 (1973)
66.
go back to reference Frolík, Z.: Uniform maps into normed spaces. Ann. Inst. Fourier (Grenoble) 24(3), 43–55 (1974) Frolík, Z.: Uniform maps into normed spaces. Ann. Inst. Fourier (Grenoble) 24(3), 43–55 (1974)
67.
go back to reference Frolík, Z. (ed.): Seminar Uniform Spaces 1973–1974. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1975) Frolík, Z. (ed.): Seminar Uniform Spaces 1973–1974. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1975)
68.
go back to reference Frolík, Z.: Three technical tools in uniform spaces. In: Seminar Uniform Spaces 1973–1974, pp. 3–26. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1975) Frolík, Z.: Three technical tools in uniform spaces. In: Seminar Uniform Spaces 1973–1974, pp. 3–26. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1975)
69.
go back to reference Frolík, Z.: Measure-fine uniform spaces I. In: Measure Theory (Oberwolfach, 1975). Lecture Notes in Mathematics, vol. 541, pp. 403–413. Springer, Berlin (1976) Frolík, Z.: Measure-fine uniform spaces I. In: Measure Theory (Oberwolfach, 1975). Lecture Notes in Mathematics, vol. 541, pp. 403–413. Springer, Berlin (1976)
70.
go back to reference Frolík, Z. (ed.): Seminar Uniform Spaces 1975–1976. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1976) Frolík, Z. (ed.): Seminar Uniform Spaces 1975–1976. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1976)
71.
go back to reference Frolík, Z.: Three uniformities associated with uniformly continuous functions. In: Symposia Mathematica, vol. XVII (INDAM, Rome, 1973), pp. 69–80. Academic, London (1976) Frolík, Z.: Three uniformities associated with uniformly continuous functions. In: Symposia Mathematica, vol. XVII (INDAM, Rome, 1973), pp. 69–80. Academic, London (1976)
72.
go back to reference Frolík, Z.: Recent development of theory of uniform spaces. In: General Topology and Its Relations to Modern Analysis and Algebra, IV (Proc. Fourth Prague Topological Sympos., Part A, Prague, 1976). Lecture Notes in Mathematics, vol. 609, pp. 98–108. Springer, Berlin (1977) Frolík, Z.: Recent development of theory of uniform spaces. In: General Topology and Its Relations to Modern Analysis and Algebra, IV (Proc. Fourth Prague Topological Sympos., Part A, Prague, 1976). Lecture Notes in Mathematics, vol. 609, pp. 98–108. Springer, Berlin (1977)
73.
go back to reference Frolík, Z. (ed.): Seminar Uniform Spaces 1976–1977. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1978) Frolík, Z. (ed.): Seminar Uniform Spaces 1976–1977. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1978)
74.
go back to reference Frolík, Z.: Measure-fine uniform spaces II. In: Measure Theory (Oberwolfach, 1981). Lecture Notes in Mathematics, vol. 945, pp. 34–41. Springer, Berlin (1982) Frolík, Z.: Measure-fine uniform spaces II. In: Measure Theory (Oberwolfach, 1981). Lecture Notes in Mathematics, vol. 945, pp. 34–41. Springer, Berlin (1982)
75.
go back to reference Frolík, Z.: Existence of l ∞ -partitions of unity. Rend. Sem. Mat. Univ. Politec. Torino 42(1), 9–14 (1984)MathSciNetMATH Frolík, Z.: Existence of l -partitions of unity. Rend. Sem. Mat. Univ. Politec. Torino 42(1), 9–14 (1984)MathSciNetMATH
76.
go back to reference Frolík, Z., Pachl, J., Zahradník, M.: Examples of uniform measures. In: Proceedings of the Conference on Topology and Measure I (Zinnowitz, 1974), pp. 139–152. Ernst-Moritz-Arndt University, Greifswald (1978) Frolík, Z., Pachl, J., Zahradník, M.: Examples of uniform measures. In: Proceedings of the Conference on Topology and Measure I (Zinnowitz, 1974), pp. 139–152. Ernst-Moritz-Arndt University, Greifswald (1978)
77.
go back to reference Frolík, Z., Pelant, J., Vilímovský, J.: On hedgehog–topologically fine uniform spaces. In: Seminar Uniform Spaces 1975–1976, pp. 75–86. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1976) Frolík, Z., Pelant, J., Vilímovský, J.: On hedgehog–topologically fine uniform spaces. In: Seminar Uniform Spaces 1975–1976, pp. 75–86. Mathematical Institute, Czechoslovak Academy of Sciences, Prague (1976)
78.
go back to reference Frolík, Z., Pelant, J., Vilímovský, J.: Extensions of uniformly continuous functions. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26(2), 143–148 (1978)MATH Frolík, Z., Pelant, J., Vilímovský, J.: Extensions of uniformly continuous functions. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26(2), 143–148 (1978)MATH
79.
go back to reference Gel′fand, I.M., Vilenkin, N.Y.: Generalized Functions, vol. 4: Applications of Harmonic Analysis. Academic, New York (1964) Gelfand, I.M., Vilenkin, N.Y.: Generalized Functions, vol. 4: Applications of Harmonic Analysis. Academic, New York (1964)
80.
go back to reference Gibbs, A.L., Su, E.S.: On choosing and bounding probability metrics. Internat. Statist. Rev. 70(3), 419–435 (2002)CrossRefMATH Gibbs, A.L., Su, E.S.: On choosing and bounding probability metrics. Internat. Statist. Rev. 70(3), 419–435 (2002)CrossRefMATH
81.
go back to reference Gillman, L., Jerison, M.: Rings of continuous functions. Graduate Texts in Mathematics, vol. 43. Springer, New York (1976); Reprint of the 1960 edition [Van Nostrand] Gillman, L., Jerison, M.: Rings of continuous functions. Graduate Texts in Mathematics, vol. 43. Springer, New York (1976); Reprint of the 1960 edition [Van Nostrand]
82.
83.
go back to reference Gnedenko, B.V., Kolmogorov, A.N.: Limit distributions for sums of independent random variables. Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad (1949); In Russian Gnedenko, B.V., Kolmogorov, A.N.: Limit distributions for sums of independent random variables. Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad (1949); In Russian
85.
go back to reference Granirer, E.E., Leinert, M.: On some topologies which coincide on the unit sphere of the Fourier–Stieltjes algebra B(G) and of the measure algebra M(G). Rocky Mountain J. Math. 11(3), 459–472 (1981)MathSciNetCrossRefMATH Granirer, E.E., Leinert, M.: On some topologies which coincide on the unit sphere of the Fourier–Stieltjes algebra B(G) and of the measure algebra M(G). Rocky Mountain J. Math. 11(3), 459–472 (1981)MathSciNetCrossRefMATH
87.
go back to reference Guran, I.I.: On topological groups close to being Lindelöf. Dokl. Akad. Nauk SSSR 256(6), 1305–1307 (1981); In Russian. English translation: Soviet Math. Dokl. 23(1), 173–175 (1981) Guran, I.I.: On topological groups close to being Lindelöf. Dokl. Akad. Nauk SSSR 256(6), 1305–1307 (1981); In Russian. English translation: Soviet Math. Dokl. 23(1), 173–175 (1981)
88.
go back to reference Hager, A.W.: On inverse-closed subalgebras of C(X). Proc. Lond. Math. Soc. (3) 19, 233–257 (1969) Hager, A.W.: On inverse-closed subalgebras of C(X). Proc. Lond. Math. Soc. (3) 19, 233–257 (1969)
90.
go back to reference Hager, A.W.: Some nearly fine uniform spaces. Proc. Lond. Math. Soc. (3) 28, 517–546 (1974) Hager, A.W.: Some nearly fine uniform spaces. Proc. Lond. Math. Soc. (3) 28, 517–546 (1974)
91.
go back to reference Hager, A.W.: Real-valued functions on Alexandroff (zero-set) spaces. Comment. Math. Univ. Carolinae 16(4), 755–769 (1975)MathSciNetMATH Hager, A.W.: Real-valued functions on Alexandroff (zero-set) spaces. Comment. Math. Univ. Carolinae 16(4), 755–769 (1975)MathSciNetMATH
92.
93.
go back to reference Hager, A.W., Reynolds, G.D., Rice, M.D.: Borel-complete topological spaces. Fund. Math. 75(2), 135–143 (1972)MathSciNet Hager, A.W., Reynolds, G.D., Rice, M.D.: Borel-complete topological spaces. Fund. Math. 75(2), 135–143 (1972)MathSciNet
94.
go back to reference van Handel, R.: Uniform observability of hidden Markov models and filter stability for unstable signals. Ann. Appl. Probab. 19(3), 1172–1199 (2009)MathSciNetCrossRefMATH van Handel, R.: Uniform observability of hidden Markov models and filter stability for unstable signals. Ann. Appl. Probab. 19(3), 1172–1199 (2009)MathSciNetCrossRefMATH
95.
go back to reference Haydon, R.: Sur les espaces M(T) et M ∞ (T). C. R. Acad. Sci. Paris Sér. A-B 275, A989–A991 (1972)MathSciNet Haydon, R.: Sur les espaces M(T) et M (T). C. R. Acad. Sci. Paris Sér. A-B 275, A989–A991 (1972)MathSciNet
96.
97.
go back to reference Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis, vol. I, 2nd edn. Springer, Berlin (1979) Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis, vol. I, 2nd edn. Springer, Berlin (1979)
98.
go back to reference Hindman, N., Strauss, D.: Algebra in the Stone-Čech compactification. de Gruyter Expositions in Mathematics, vol. 27. Walter de Gruyter & Co., Berlin (1998) Hindman, N., Strauss, D.: Algebra in the Stone-Čech compactification. de Gruyter Expositions in Mathematics, vol. 27. Walter de Gruyter & Co., Berlin (1998)
100.
go back to reference Isbell, J.R.: Uniform spaces. Mathematical Surveys, No. 12. American Mathematical Society, Providence, RI (1964) Isbell, J.R.: Uniform spaces. Mathematical Surveys, No. 12. American Mathematical Society, Providence, RI (1964)
102.
103.
go back to reference Kalton, N.J.: The Orlicz–Pettis theorem. In: Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces (Univ. North Carolina, Chapel Hill, N.C., 1979). Contemprary Mathematics, vol. 2, pp. 91–100. American Mathematical Society, Providence, RI (1980) Kalton, N.J.: The Orlicz–Pettis theorem. In: Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces (Univ. North Carolina, Chapel Hill, N.C., 1979). Contemprary Mathematics, vol. 2, pp. 91–100. American Mathematical Society, Providence, RI (1980)
104.
go back to reference Kalton, N.J.: Spaces of Lipschitz and Hölder functions and their applications. Collect. Math. 55(2), 171–217 (2004)MathSciNetMATH Kalton, N.J.: Spaces of Lipschitz and Hölder functions and their applications. Collect. Math. 55(2), 171–217 (2004)MathSciNetMATH
105.
go back to reference Kantorovich, L.V., Rubinshteĭn, G.S.: On a space of completely additive functions. Vestnik Leningrad. Univ. 13(7), 52–59 (1958); In Russian Kantorovich, L.V., Rubinshteĭn, G.S.: On a space of completely additive functions. Vestnik Leningrad. Univ. 13(7), 52–59 (1958); In Russian
106.
go back to reference Katětov, M.: On real-valued functions in topological spaces. Fund. Math. 38, 85–91 (1951); Correction: Fund. Math. 40, 203–205 (1953) Katětov, M.: On real-valued functions in topological spaces. Fund. Math. 38, 85–91 (1951); Correction: Fund. Math. 40, 203–205 (1953)
107.
go back to reference Katětov, M.: On a category of spaces. In: General Topology and its Relations to Modern Analysis and Algebra (Proc. Sympos., Prague, 1961), pp. 226–229. Academic, New York (1962) Katětov, M.: On a category of spaces. In: General Topology and its Relations to Modern Analysis and Algebra (Proc. Sympos., Prague, 1961), pp. 226–229. Academic, New York (1962)
108.
go back to reference Katětov, M.: On certain projectively generated continuity structures. In: Sierpiński, W., Kuratowski, K. (eds.) Simposio di Topologia (Università di Messina, 27–30 Aprile, 1964), vol. I, pp. 47–50. Edizioni Oderisi, Gubbio (1965); Correction: Comment. Math. Univ. Carolin. 6, 251–255 (1965) Katětov, M.: On certain projectively generated continuity structures. In: Sierpiński, W., Kuratowski, K. (eds.) Simposio di Topologia (Università di Messina, 27–30 Aprile, 1964), vol. I, pp. 47–50. Edizioni Oderisi, Gubbio (1965); Correction: Comment. Math. Univ. Carolin. 6, 251–255 (1965)
109.
go back to reference Kelley, J.L.: General topology. Graduate Texts in Mathematics, No. 27. Springer, New York (1975); Reprint of the 1955 edition [Van Nostrand] Kelley, J.L.: General topology. Graduate Texts in Mathematics, No. 27. Springer, New York (1975); Reprint of the 1955 edition [Van Nostrand]
110.
go back to reference Khurana, S.S.: Uniform measures on vector-valued functions. Publ. Math. Debrecen 55(1–2), 73–82 (1999)MathSciNetMATH Khurana, S.S.: Uniform measures on vector-valued functions. Publ. Math. Debrecen 55(1–2), 73–82 (1999)MathSciNetMATH
112.
go back to reference Khurana, S.S., Colasante, M.L.: Vector-valued free uniform measures. Atti Sem. Mat. Fis. Univ. Modena 47(2), 429–439 (1999)MathSciNetMATH Khurana, S.S., Colasante, M.L.: Vector-valued free uniform measures. Atti Sem. Mat. Fis. Univ. Modena 47(2), 429–439 (1999)MathSciNetMATH
113.
114.
go back to reference Krée, P.: Équations linéaires à coefficients aléatoires. In: Symposia Mathematica, vol. VII (INDAM, Rome, 1970), pp. 515–546. Academic, London (1971) Krée, P.: Équations linéaires à coefficients aléatoires. In: Symposia Mathematica, vol. VII (INDAM, Rome, 1970), pp. 515–546. Academic, London (1971)
115.
go back to reference Krée, P.: Images de probabilités cylindriques par certaines applications non linéaires. Accouplement de processus linéaires. C. R. Acad. Sci. Paris Sér. A-B 274, A342–A345 (1972) Krée, P.: Images de probabilités cylindriques par certaines applications non linéaires. Accouplement de processus linéaires. C. R. Acad. Sci. Paris Sér. A-B 274, A342–A345 (1972)
116.
go back to reference Kuratowski, K.: Topology, vol. I, New edition. Academic, New York (1966) Kuratowski, K.: Topology, vol. I, New edition. Academic, New York (1966)
118.
go back to reference Lau, A.T.M.: Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups. Math. Proc. Cambridge Philos. Soc. 99(2), 273–283 (1986)MathSciNetCrossRefMATH Lau, A.T.M.: Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups. Math. Proc. Cambridge Philos. Soc. 99(2), 273–283 (1986)MathSciNetCrossRefMATH
119.
go back to reference Lau, A.T.M.: Amenability of semigroups. In: The Analytical and Topological Theory of Semigroups, pp. 313–334. Walter de Gruyter, Berlin (1990) Lau, A.T.M.: Amenability of semigroups. In: The Analytical and Topological Theory of Semigroups, pp. 313–334. Walter de Gruyter, Berlin (1990)
120.
121.
go back to reference LeCam, L.: Convergence in distribution of stochastic processes. Univ. Calif. Publ. Statist. 2, 207–236 (1957)MathSciNet LeCam, L.: Convergence in distribution of stochastic processes. Univ. Calif. Publ. Statist. 2, 207–236 (1957)MathSciNet
123.
go back to reference LeCam, L.: Remarques Sur le Théorème Limite Central dans les Espaces Localement Convexes, pp. 233–249. Éditions Centre Nat. Recherche Sci., Paris (1970) LeCam, L.: Remarques Sur le Théorème Limite Central dans les Espaces Localement Convexes, pp. 233–249. Éditions Centre Nat. Recherche Sci., Paris (1970)
124.
go back to reference LeCam, L.: Some special results of measure theory. Technical Report 265, Department of Statistics, University of California, Berkeley (1990) LeCam, L.: Some special results of measure theory. Technical Report 265, Department of Statistics, University of California, Berkeley (1990)
125.
go back to reference Lévy, P.: Calcul des Probabilités. Gauthier-Villars, Paris (1925)MATH Lévy, P.: Calcul des Probabilités. Gauthier-Villars, Paris (1925)MATH
127.
go back to reference McKennon, K.: Multipliers, positive functionals, positive-definite functions, and Fourier–Stieltjes transforms. Mem. Amer. Math. Soc. 111. American Mathematical Society, Providence, RI (1971) McKennon, K.: Multipliers, positive functionals, positive-definite functions, and Fourier–Stieltjes transforms. Mem. Amer. Math. Soc. 111. American Mathematical Society, Providence, RI (1971)
128.
go back to reference Megrelishvili, M.G., Pestov, V.G., Uspenskij, V.V.: A note on the precompactness of weakly almost periodic groups. In: Nuclear Groups and Lie groups (Madrid, 1999). Res. Exp. Math., vol. 24, pp. 209–216. Heldermann, Lemgo (2001) Megrelishvili, M.G., Pestov, V.G., Uspenskij, V.V.: A note on the precompactness of weakly almost periodic groups. In: Nuclear Groups and Lie groups (Madrid, 1999). Res. Exp. Math., vol. 24, pp. 209–216. Heldermann, Lemgo (2001)
129.
go back to reference Megrelishvili, M.G.: Compactifications of semigroups and semigroup actions. Topology Proc. 31, 611–650 (2007)MathSciNet Megrelishvili, M.G.: Compactifications of semigroups and semigroup actions. Topology Proc. 31, 611–650 (2007)MathSciNet
130.
131.
go back to reference Neufang, M.: A unified approach to the topological centre problem for certain Banach algebras arising in abstract harmonic analysis. Arch. Math. (Basel) 82(2), 164–171 (2004) Neufang, M.: A unified approach to the topological centre problem for certain Banach algebras arising in abstract harmonic analysis. Arch. Math. (Basel) 82(2), 164–171 (2004)
132.
go back to reference Neufang, M., Pachl, J., Salmi, P.: Uniformly equicontinuous sets, right multiplier topology and continuity of convolution. arXiv:1202.4350v1 (2012) Neufang, M., Pachl, J., Salmi, P.: Uniformly equicontinuous sets, right multiplier topology and continuity of convolution. arXiv:1202.4350v1 (2012)
133.
go back to reference Neumann, B.H.: Groups covered by permutable subsets. J. Lond. Math. Soc. 29, 236–248 (1954)CrossRefMATH Neumann, B.H.: Groups covered by permutable subsets. J. Lond. Math. Soc. 29, 236–248 (1954)CrossRefMATH
134.
135.
go back to reference Pachl, J.: Free uniform measures on sub-inversion-closed spaces. Comment. Math. Univ. Carolin. 17(2), 291–306 (1976)MathSciNetMATH Pachl, J.: Free uniform measures on sub-inversion-closed spaces. Comment. Math. Univ. Carolin. 17(2), 291–306 (1976)MathSciNetMATH
137.
138.
go back to reference Pachl, J.: Uniform measures and convolution on topological groups. arXiv:math/0608139v4 (2006) Pachl, J.: Uniform measures and convolution on topological groups. arXiv:math/0608139v4 (2006)
139.
go back to reference Pachl, J.: Semiuniform semigroups and convolution. arXiv:0811.3576v2 (2008) Pachl, J.: Semiuniform semigroups and convolution. arXiv:0811.3576v2 (2008)
142.
go back to reference Pelant, J.: Reflections not preserving completeness. In: Seminar Uniform Spaces 1973–1974, pp. 235–240. Math. Institute, Czechoslovak Academy of Sciences, Prague (1975) Pelant, J.: Reflections not preserving completeness. In: Seminar Uniform Spaces 1973–1974, pp. 235–240. Math. Institute, Czechoslovak Academy of Sciences, Prague (1975)
143.
go back to reference Pestov, V.: Dynamics of infinite-dimensional groups. University Lecture Series, vol. 40. American Mathematical Society, Providence, RI (2006) Pestov, V.: Dynamics of infinite-dimensional groups. University Lecture Series, vol. 40. American Mathematical Society, Providence, RI (2006)
144.
go back to reference Pol, R.: Remark on the restricted Baire property in compact spaces. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24(8), 599–603 (1976)MathSciNetMATH Pol, R.: Remark on the restricted Baire property in compact spaces. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24(8), 599–603 (1976)MathSciNetMATH
145.
go back to reference Prokhorov, Yu.V.: Convergence of random processes and limit theorems in probability theory. Teor. Veroyatnost. i Primenen. 1, 177–238 (1956); In Russian. English translation: Theor. Probab. Appl. 1, 3 (1956), 157–214 Prokhorov, Yu.V.: Convergence of random processes and limit theorems in probability theory. Teor. Veroyatnost. i Primenen. 1, 177–238 (1956); In Russian. English translation: Theor. Probab. Appl. 1, 3 (1956), 157–214
146.
go back to reference Protasov, I.: Combinatorics of numbers. Mathematical Studies Monograph Series, vol. 2. VNTL, L′viv (1997) Protasov, I.: Combinatorics of numbers. Mathematical Studies Monograph Series, vol. 2. VNTL, Lviv (1997)
147.
go back to reference Pták, V.: An extension theorem for separately continuous functions and its application to functional analysis. Czechoslovak Math. J. 14(89), 562–581 (1964)MathSciNet Pták, V.: An extension theorem for separately continuous functions and its application to functional analysis. Czechoslovak Math. J. 14(89), 562–581 (1964)MathSciNet
148.
go back to reference Pták, V.: Algebraic extensions of topological spaces. In: Contributions to Extension Theory of Topological Structures (Proc. Sympos., Berlin, 1967), pp. 179–188. Deutsch. Verlag Wissensch., Berlin (1969) Pták, V.: Algebraic extensions of topological spaces. In: Contributions to Extension Theory of Topological Structures (Proc. Sympos., Berlin, 1967), pp. 179–188. Deutsch. Verlag Wissensch., Berlin (1969)
149.
go back to reference Pym, J.S.: The convolution of linear functionals. Proc. Lond. Math. Soc. (3) 14, 431–444 (1964) Pym, J.S.: The convolution of linear functionals. Proc. Lond. Math. Soc. (3) 14, 431–444 (1964)
150.
go back to reference Pym, J.S.: The convolution of functionals on spaces of bounded functions. Proc. Lond. Math. Soc. (3) 15, 84–104 (1965) Pym, J.S.: The convolution of functionals on spaces of bounded functions. Proc. Lond. Math. Soc. (3) 15, 84–104 (1965)
151.
go back to reference Rachev, S.T.: Probability Metrics and the Stability of Stochastic Models. Wiley, Chichester (1991)MATH Rachev, S.T.: Probability Metrics and the Stability of Stochastic Models. Wiley, Chichester (1991)MATH
152.
go back to reference Rachev, S.T., Rüschendorf, L.: Mass Transportation Problems, vol. I. Springer, New York (1998)MATH Rachev, S.T., Rüschendorf, L.: Mass Transportation Problems, vol. I. Springer, New York (1998)MATH
153.
go back to reference Raĭkov, D.A.: Free locally convex spaces for uniform spaces. Mat. Sb. (N.S.) 63(105), 582–590 (1964); In Russian Raĭkov, D.A.: Free locally convex spaces for uniform spaces. Mat. Sb. (N.S.) 63(105), 582–590 (1964); In Russian
154.
go back to reference Raĭkov, D.A.: Duality method in the theory of uniform spaces. In: Proceedings of the Fourth All-Union Topology Conf. (Tashkent, 1963), pp. 155–162. FAN, Tashkent (1967); In Russian Raĭkov, D.A.: Duality method in the theory of uniform spaces. In: Proceedings of the Fourth All-Union Topology Conf. (Tashkent, 1963), pp. 155–162. FAN, Tashkent (1967); In Russian
156.
157.
go back to reference Rice, M.D.: Uniform ideas in analysis. Real Anal. Exchange 6(2), 139–185 (1980/81) Rice, M.D.: Uniform ideas in analysis. Real Anal. Exchange 6(2), 139–185 (1980/81)
158.
go back to reference Riesz, F.: Sur les opérations fonctionnelles linéaires. C. R. Math. Acad. Sci. Paris 149, 974–977 (1909) Riesz, F.: Sur les opérations fonctionnelles linéaires. C. R. Math. Acad. Sci. Paris 149, 974–977 (1909)
159.
go back to reference Roelcke, W., Dierolf, S.: Uniform Structures on Topological Groups and their Quotients. McGraw-Hill, New York (1981)MATH Roelcke, W., Dierolf, S.: Uniform Structures on Topological Groups and their Quotients. McGraw-Hill, New York (1981)MATH
160.
go back to reference Rogers, C.A., Jayne, J.E.: K-analytic sets. In: Analytic Sets (London Math. Soc. Conf., University College London, July 1978), pp. 1–181. Academic, New York (1980) Rogers, C.A., Jayne, J.E.: K-analytic sets. In: Analytic Sets (London Math. Soc. Conf., University College London, July 1978), pp. 1–181. Academic, New York (1980)
161.
go back to reference Ruppert, W.: Compact semitopological semigroups: an intrinsic theory. Lecture Notes in Mathematics, vol. 1079. Springer, Berlin (1984) Ruppert, W.: Compact semitopological semigroups: an intrinsic theory. Lecture Notes in Mathematics, vol. 1079. Springer, Berlin (1984)
162.
go back to reference Salmi, P.: Joint continuity of multiplication on the dual of the left uniformly continuous functions. Semigroup Forum 80(1), 155–163 (2010)MathSciNetCrossRefMATH Salmi, P.: Joint continuity of multiplication on the dual of the left uniformly continuous functions. Semigroup Forum 80(1), 155–163 (2010)MathSciNetCrossRefMATH
163.
go back to reference Schachermayer, W.: Measurable and continuous linear functionals on spaces of uniformly continuous functions. In: Measure Theory (Oberwolfach, 1981). Lecture Notes in Mathematics, vol. 945, pp. 155–166. Springer, Berlin (1982) Schachermayer, W.: Measurable and continuous linear functionals on spaces of uniformly continuous functions. In: Measure Theory (Oberwolfach, 1981). Lecture Notes in Mathematics, vol. 945, pp. 155–166. Springer, Berlin (1982)
164.
go back to reference Schaefer, H.H.: Topological Vector Spaces. Springer, New York (1971); Third printing corrected Schaefer, H.H.: Topological Vector Spaces. Springer, New York (1971); Third printing corrected
165.
go back to reference Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford University Press, London (1973). Tata Institute of Fundamental Research Studies in Mathematics, No. 6 Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford University Press, London (1973). Tata Institute of Fundamental Research Studies in Mathematics, No. 6
166.
go back to reference Semadeni, Z.: Banach spaces of continuous functions, vol. I. PWN—Polish Scientific Publishers, Warsaw (1971); Monografie Matematyczne, Tom 55 Semadeni, Z.: Banach spaces of continuous functions, vol. I. PWN—Polish Scientific Publishers, Warsaw (1971); Monografie Matematyczne, Tom 55
167.
168.
go back to reference Tomášek, S.: On a certain class of Λ-structures. I, II. Czechoslovak Math. J. 20(95), 1–18, 19–33 (1970) Tomášek, S.: On a certain class of Λ-structures. I, II. Czechoslovak Math. J. 20(95), 1–18, 19–33 (1970)
169.
go back to reference Topsøe, F.: Topology and measure. Lecture Notes in Mathematics, vol. 133. Springer, Berlin (1970) Topsøe, F.: Topology and measure. Lecture Notes in Mathematics, vol. 133. Springer, Berlin (1970)
170.
go back to reference Tortrat, A.: Sur la continuité de l’opération convolution dans un demi-groupe topologique X. C. R. Acad. Sci. Paris Sér. A–B 272, A588–A591 (1971) Tortrat, A.: Sur la continuité de l’opération convolution dans un demi-groupe topologique X. C. R. Acad. Sci. Paris Sér. A–B 272, A588–A591 (1971)
171.
go back to reference Uspenskij, V.V.: Compactifications of topological groups. In: Proceedings of the Ninth Prague Topological Symposium (2001), pp. 331–346 (electronic). Topol. Atlas, North Bay, Ontario (2002) Uspenskij, V.V.: Compactifications of topological groups. In: Proceedings of the Ninth Prague Topological Symposium (2001), pp. 331–346 (electronic). Topol. Atlas, North Bay, Ontario (2002)
173.
go back to reference Varadarajan, V.S.: Measures on topological spaces. Mat. Sb. (N.S.) 55(97), 35–100 (1961); In Russian. English translation: Amer. Math. Soc. Transl. (2) 48, 161–228 (1965) Varadarajan, V.S.: Measures on topological spaces. Mat. Sb. (N.S.) 55(97), 35–100 (1961); In Russian. English translation: Amer. Math. Soc. Transl. (2) 48, 161–228 (1965)
174.
go back to reference Villani, C.: Topics in optimal transportation. Graduate Studies in Mathematics, vol. 58. American Mathematical Society, Providence, RI (2003) Villani, C.: Topics in optimal transportation. Graduate Studies in Mathematics, vol. 58. American Mathematical Society, Providence, RI (2003)
175.
go back to reference Villani, C.: Optimal transport. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 338. Springer, Berlin (2009) Villani, C.: Optimal transport. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 338. Springer, Berlin (2009)
176.
go back to reference de Vries, J.: Elements of topological dynamics. Mathematics and Its Applications, vol. 257. Kluwer Academic, Dordrecht (1993) de Vries, J.: Elements of topological dynamics. Mathematics and Its Applications, vol. 257. Kluwer Academic, Dordrecht (1993)
179.
go back to reference Weil, A.: Sur les espaces à structure uniforme et sur la topologie générale. Hermann & Cie, Paris (1937)MATH Weil, A.: Sur les espaces à structure uniforme et sur la topologie générale. Hermann & Cie, Paris (1937)MATH
180.
go back to reference Wheeler, R.F.: A survey of Baire measures and strict topologies. Expo. Math. 1(2), 97–190 (1983)MATH Wheeler, R.F.: A survey of Baire measures and strict topologies. Expo. Math. 1(2), 97–190 (1983)MATH
181.
go back to reference Zahradník, M.: Projective limits of uniform measures. Thesis, Charles University, Prague (1974); In Czech Zahradník, M.: Projective limits of uniform measures. Thesis, Charles University, Prague (1974); In Czech
182.
go back to reference Zahradník, M.: Inversion closed uniform spaces have the Daniell property. In: Seminar Uniform Spaces 1973–1974, pp. 233–234. Math. Institute, Czechoslovak Academy of Sciences, Prague (1975) Zahradník, M.: Inversion closed uniform spaces have the Daniell property. In: Seminar Uniform Spaces 1973–1974, pp. 233–234. Math. Institute, Czechoslovak Academy of Sciences, Prague (1975)
183.
go back to reference Zahradník, M.: l 1-continuous partitions of unity on normed spaces. Czechoslovak Math. J. 26(101)(2), 319–329 (1976) Zahradník, M.: l 1-continuous partitions of unity on normed spaces. Czechoslovak Math. J. 26(101)(2), 319–329 (1976)
184.
Metadata
Title
Uniformities and Topologies
Author
Jan Pachl
Copyright Year
2013
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-5058-0_2

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