TY  - GEN
AU  - Deo,Satya
TI  - Algebraic topology: : a primer
T2  - Texts and Readings in Mathematics
SN  - 9789386279675
U1  - 514.2 23rd
PY  - 2018///
CY  - New Delhi
PB  - HBA
KW  - Mathematics
KW  - Topology
KW  - Algebraic Topology
N1  - Basic topology: a review -- The Fundamental group -- Simplicial complexes -- Simplicial homology -- Covering projections -- Singular homology
N2  - This book introduces the first concepts of Algebraic Topology like general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in detail. The text has been designed for undergraduate and beginning graduate students of Mathematics. It assumes a minimal background of linear algebra, group theory and topological spaces. The author has dealt with the basic concepts and ideas in a very lucid manner giving suitable motivations and illustrations. As an application of the tools developed in this book, some classical theorems like Brouwer’s fixed point theorem, the Lefschetz fixed point theorem, the Borsuk-Ulam theorem, Brouwer’s separation theorem and the theorem on invariance of domain have been proved and illustrated. Most of the exercises are elementary but some are more challenging and will help the readers in their understanding of the subject
ER  -