Algebraic topology /
Published by : Cambridge University Press, (Cambridge : | New York :) Physical details: xii, 544 p. : ill. ; 25.3 CM. ISBN:0521795400 . Year: 2002 Item type: BooksCurrent library | Call number | Status | Date due | Barcode |
---|---|---|---|---|
Paro College Library | 514.2 HAT (Browse shelf(Opens below)) | Available | *12495* | |
Paro College Library | 514.2 HAT (Browse shelf(Opens below)) | Available | *12496* |
Includes bibliography and index.
In 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
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