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Prerequisites: Sets, Algebraic Systems and Classical Analysis Read chapter Read first chapter

2022 | OriginalPaper | Chapter

8. Brief History of Topology I: Motivation of the Subject with Historical Development

Authors : Avishek Adhikari, Mahima Ranjan Adhikari

Published in: Basic Topology 1

Publisher: Springer Nature Singapore

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Abstract

The subject Topology has become one of the most exciting and influential fields of study in modern mathematics, because of its beauty and scope. Topology starts where sets have some cohesive properties leading to define continuity of functions.

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previous chapter Countability, Separability and Embedding
Literature
Adhikari, A., Adhikari, M.R.: Basic Topology, Volume 2: Topological and Groups, Toology of Manifolds and Lie Groups. Springer, India (2022)
Adhikari, M.R.: Basic Topology. Volume 3: Algebraic Topology and Topology of Fiber Bundles. Springer, India (2022)
Adhikari, M.R.: Basic Algebraic Topology and its Applications. Springer, India (2016) CrossRef
Adhikari, M.R., Adhikari, A.: Basic Modern Algebra with Applications. Springer, New Delhi, New York, Heidelberg (2014) CrossRef
Alexandrov, P.S.: Introduction to Set Theory and General Topology. Moscow (1979)
James, I.M.: Handbook of the History of General Topology, vol. 3, pp. 809–834. Kluwer Acadernic Publishers (2001)
Borisovich, Y.U., Bliznyakov, N., Izrailevich, Y.A., Fomenko, T.: Introduction to Topology. Mir Publishers, Moscow (1985) MATH
CS Chinn, W.G., Steenrod. N.E.: First Concepts of Topology. Math Association of America (1966)
Lefschetz, S.: Introduction to Topology. Princeton University Press, New York (1949) CrossRef
MacLane, S.: Categories for the Working Mathematician. Springer-Verlagn, New York (1971) MATH
Poincaré, H.: Papers on Topology: Analysis Situs and its Five Supplements. Translated by Still-well. J. Hist. Math. 37; Amer. Math. Soc (2010)
Stone, M.H.: Compactication of topological spaces. Ann. Soc. Pol. Math. 21, 153–160 (1948)
Metadata
Title
Brief History of Topology I: Motivation of the Subject with Historical Development
Authors
Avishek Adhikari
Mahima Ranjan Adhikari
Copyright Year
2022
Publisher
Springer Nature Singapore
Book
Basic Topology 1

Print ISBN: 978-981-16-6508-0

Electronic ISBN: 978-981-16-6509-7

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-981-16-6509-7_8

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