ENGLISH

Algebraic Topology

By Allen Hatcher

Book information

Year
2001
ISBN
0521795400, 9780521795401
Open Library ID
OL15536330M
Language
english
Format
PDF
Filesize
4 MB (3699164 bytes)
Edition
1
Pages
556\553
Time added
2011-06-04 13:46:07

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.

Similar books