000			01684 a2200241 4500
003			ISI Library, Kolkata
005			20250129020016.0
020			_a9789386279675
040			_aISI Library _bEnglish
082	0	4	_223rd _a514.2 _bD418
100	1		_aDeo, Satya _eauthor
245	1	0	_aAlgebraic topology: _ba primer/ _cSatya Deo
250			_a2nd
260			_aNew Delhi: _bHBA, _c2018
300			_axi, 344 pages; _bdig; _c23 cm.
490	0		_aTexts and Readings in Mathematics; _v27
505	0		_aBasic topology: a review -- The Fundamental group -- Simplicial complexes -- Simplicial homology -- Covering projections -- Singular homology
520			_aThis 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.
650		4	_aMathematics
650		4	_aTopology
650		4	_aAlgebraic Topology
942			_cBK _2ddc _01
999			_c434766 _d434766