Overview
- Presents revised and enlarged concepts of the topics in algebraic topology
- Contains several exercises from elementary to proficient level
- Is written by author having over 40 years of teaching experience
- Is useful to undergraduate and graduate students of mathematics
Part of the book series: Texts and Readings in Mathematics (TRIM, volume 27)
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Table of contents (7 chapters)
Keywords
About this book
This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces.
The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer’s fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer’s separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes challenging, for the reader to provoke their curiosity for problem-solving.Authors and Affiliations
About the author
Bibliographic Information
Book Title: Algebraic Topology
Book Subtitle: A Primer
Authors: Satya Deo
Series Title: Texts and Readings in Mathematics
DOI: https://doi.org/10.1007/978-981-10-8734-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2018
eBook ISBN: 978-981-10-8734-9Published: 13 March 2018
Series ISSN: 2366-8717
Series E-ISSN: 2366-8725
Edition Number: 2
Number of Pages: XII, 344
Number of Illustrations: 104 b/w illustrations
Topics: Algebraic Topology