Algebraic Topology

• Author: Allen Hatcher
• ISBN 10: 0521795400
• ISBN 13: 9780521795401
• Edition: 1
• Release: December 3, 2001
• Format: Paperback (556 pages)
• List Price: $36.99
• More Details
  
  

  List Price: $36.99

  Tags: Science, Mathematics, Pure Mathematics,

  Book Description:
  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.

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