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2022 | OriginalPaper | Chapter

1. Prerequisites: Sets, Algebraic Systems and Classical Analysis

Authors : Avishek Adhikari, Mahima Ranjan Adhikari

Published in: Basic Topology 1

Publisher: Springer Nature Singapore

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Abstract

This chapter assembles together some basic concepts and results of set theset theory, modern algebra, classical analysis and also of category theory by using a natural language for smooth reading of the book.

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next chapter Metric Spaces and Normed Linear Spaces
Literature
Adhikari, M.R.: Basic Algebraic Topology and Its Applications. Springer, India (2016) CrossRef
Adhikari, M.R.: Basic Topology. Volume 3: Algebraic Topology and Topology of Fiber Bundles. Springer, India (2022)
Adhikari, M.R., Adhikari, A.: Groups. Rings and Modules with Applications. Universities Press, Hyderabad (2003) MATH
Adhikari, M.R., Adhikari, A.: Textbook of Linear Algebra: An Introduction to Modern Algebra. Allied Publishers, New Delhi (2006) MATH
Adhikari, M.R., Adhikari, A.: Basic Modern Algebra with Applications. Springer, New Delhi, New York, Heidelberg (2014) CrossRef
Adhikari, A., Adhikari, M.R.: Basic Topology. Volume 2: Topological Groups, Topology of Manifolds and Lie Groups. Springer, India (2022)
Alexandrov, P.S.: Introduction to Set Theory and General Topology. Moscow (1979)
Chatterjee, B.C., Ganguly, S., Adhikari, M.R.: Introduction to Topology. Asian Books Pvt. Ltd., New Delhi (2002)
Conway, J.B.: A Course in Point Set Topology. Springer, Switzerland (1914)
Hu, S.T.: Introduction to General Topology. Holden-Day, San Francisco (1966) MATH
Kelly, J.L.: General Topology. Van Nostrand, New York (1955); Springer, New York (1975)
Simmons, G.: Introduction to Topology and Modern Analysis. McGraw Hill, New York (1963) MATH
Metadata
Title
Prerequisites: Sets, Algebraic Systems and Classical Analysis
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_1

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