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Algebraic Topology
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Algebraic Topology Hardcover - 2001 - 1st Edition

by Allen Hatcher


From the publisher

In most major universities one of the three or four basic first-year 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.

First line

The aim of this short preliminary chapter is to introduce a few of the most common geometric concepts and constructions in algebraic topology.

Details

  • Title Algebraic Topology
  • Author Allen Hatcher
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 556
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, New York, U.S.A.
  • Date November 15, 2001
  • ISBN 9780521791601 / 052179160X
  • Weight 2.54 lbs (1.15 kg)
  • Dimensions 9.96 x 6.97 x 1.69 in (25.30 x 17.70 x 4.29 cm)
  • Library of Congress subjects Algebraic topology
  • Library of Congress Catalog Number 00065166
  • Dewey Decimal Code 514.2