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

2022 | OriginalPaper | Chapter

3. Topological Spaces and Continuous Maps

Authors : Avishek Adhikari, Mahima Ranjan Adhikari

Published in: Basic Topology 1

Publisher: Springer Nature Singapore

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Abstract

The subject Topology sets out its official journey in this chapter through the address of the concepts of topological spaces and their continuous maps, which are the basic objects and the basic functions in topology.

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previous chapter Metric Spaces and Normed Linear Spaces
next chapter Separation Axioms
Literature
Adhikari, A., Adhikari, M.R.: Basic Topology, Volume 2: Topological Groups, Topology 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)
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Borisovich, Y.C.U., Blznyakov, N., Formenko, T.: Introduction to Topology. Mir Publishers, Moscow, Translated from the Russia by Oleg Efimov (1985)
Bourbaki, N.: General Topology, 1st edn. (1940)
Chatterjee, B.C., Ganguly, S., Adhikari, M.R.: Introduction to Topology. Asian Books, New Delhi (2002)
Hilbert, D., Cohn-Vossen, S.: Geometry and Imagination. Chelsea, New York (1952) MATH
Hu, S.T.: Introduction to General Topology. Holden-Day, San Francisco (1966) MATH
Kelly, J.L.: General Topology, Van Nostrand, New York, 1955. Springer- Verlag, New York (1975)
Lipschutz, S.: Schaum’s Outline of General Topology. McGraw-Hill (1988)
Mendelson, B.: Introduction to Topology College Mathematical Series. Allyn and Bacon, Boston (1962)
Patterson, E.M.: Topology. Oliver and Boyd (1959)
Prasolov, V.V.: Intuitive Topology. Universities Press (India) (1995)
Singer, I.M., Thorpe, J.A.: Lecture Notes on Elementary Topology and Geometry. Springer-Verlag, New York (1967) MATH
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Metadata
Title
Topological Spaces and Continuous Maps
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_3

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