Algebraic Topology Contributor(s): Hatcher, Allen (Author) |
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ISBN: 0521795400 ISBN-13: 9780521795401 Publisher: Cambridge University Press
Binding Type: Paperback - See All Available Formats & Editions Published: December 2001 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Topology - General - Mathematics | Geometry - General |
Dewey: 514.2 |
LCCN: 00065166 |
Physical Information: 1.4" H x 7" W x 9.9" L (2.25 lbs) 558 pages |
Features: Bibliography, Index, Table of Contents |
Review Citations: Choice 10/01/2002 pg. 313 |
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