Algebraic Topology

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In most major universities one of the three or four basic firstyear graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: 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 is the inclusion of many optional topics not usually part of a first course due to time constraints: 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 Steenrod squares and powers. Editorial Reviews Hatcher (mathematics, Cornell U.) presents an introduction to algebraic topology that retains the classical feel of the field from three or four decades ago, but clarifies some of the most important results and techniques that have arisen in the intervening years. The emphasis leans towards the geometric, rather than algebraic, aspects of the subject. After presenting some of the basic geometric concepts and constructions of the subject, Hatcher separates his treatment into the two broad topics of homology and homotopy. He assumes the reader has familiarity with the content of standard courses in algebra and point-set topology. Annotation c. Book News, Inc., Portland, OR (

Weight182 g
Language TypePublished
Number Of Pages556
Package Quantity7
Product GroupBook
Publication Date2003-05-31
PublisherCambridge University Press
StudioCambridge University Press
Sales Rank69744

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