000			01809cam a22002294a 4500
003			OSt
005			20220325150818.0
008			001109s2002 enka b 001 0 eng
020			_a0521795400
040			_ctshering
082	0	0	_a514.2 HAT
100	1		_aHatcher, Allen.
245	1	0	_aAlgebraic topology /
260			_aCambridge : _aNew York : _bCambridge University Press, _c2002.
300			_axii, 544 p. : _bill. ; _c25.3 CM.
504			_aIncludes bibliography and index.
520			_aIn most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book. ' from publisher's description
650		0	_a Algebraic topology.
650		0	_aTopologie algébrique.
650		0	_aAlgebraische Topologie
942			_2ddc _cBK
999			_c5830 _d5830