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

2022 | OriginalPaper | Chapter

5. Compactness and Connectedness

Authors : Avishek Adhikari, Mahima Ranjan Adhikari

Published in: Basic Topology 1

Publisher: Springer Nature Singapore

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Abstract

This chapter is devoted to address the concepts of compactness and connectedness in topological settings, which first arose through the study of subsets of the Euclidean line \( \mathbf {R}\) in calculus and mathematical analysis.

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Literature
Adhikari, A., Adhikari, M.R.: Basic Topology, Volume 2: Topological Groups, Topology of Manifolds and Lie Groups. Springer, India (2022)
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Kalajdzievski, S.: An Illustrated Introduction to Topology and Homotopy. CRC Press Taylor & Francis Group (2015)
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Metadata
Title
Compactness and Connectedness
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_5

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