Algebraic topology: a primer
- 2nd ed.
- New Delhi: Hindustan Book Agency, 2018
- xi, 344p. ; pb. ; 24 cm.
- Text and Readings in Mathematics .
Includes index
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
9789386279675
Algebraic topology Mathematics Brouwer's fixed point theorem Lefschetz fixed point theorem Borsuk-Ulam theorem Brouwer's separation theorem