000			02007cam a22002535i 4500
001			135825
003			ISI Library, Kolkata
005			20150603131037.0
008			140829s2014 nyu 000 0 eng
020			_a9781493918430
040			_aISI Library
082	0	0	_a514.2 _223 _bW424
100	1		_aWeintraub, Steven H.
245	1	0	_aFundamentals of algebraic topology / _cSteven H. Weintraub.
260			_aNew York : _bSpringer, _c2014.
300			_ax, 163 p. ; _billustrations.
490	0		_aGraduate texts in mathematics ; _v270.
504			_aIncludes bibliographical references and index.
505	0		_a1. The Basics -- 2. The Fundamental Group -- 3. Generalized Homology Theory -- 4. Ordinary Homology Theory -- 5. Singular Homology Theory -- 6. Manifolds -- 7. Homotopy Theory -- 8. Homotopy Theory -- A. Elementary Homological Algebra -- B. Bilinear Forms.- C. Categories and Functors -- Bibliography -- Index.
520			_a This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.
650		0	_aAlgebraic topology.
650		0	_aMathematics.
942			_2ddc _cBK
999			_c418865 _d418865