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Book synopsis

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 theore m, 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.

Book details

Book category Books in English Mathematics & science Mathematics Topology

• Full title: Algebraic Topology
• Author: Hatcher, Allen (Cornell University, New York)
• Language: English
• Binding: Paperback
• Number of pages: 556
• EAN: 9780521795401
• ISBN: 0521795400
• ID: 04095413
• Publisher: Cambridge University Press
• Weight: 1036 g
• Dimensions: 255 × 177 × 30 mm
• Date of publishing: 03. December 2001

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