2020年12月15日 9:49 PM #14714Elena Zahiaゲスト
by Allen Hatcher
- Publisher: Cambridge University Press
- Genres: mathematics, textbooks, reference, science, geometry
- Format: paperback, 544 pages
- Author: Allen Hatcher
- ISBN: 9780521795401 (0521795400)
- Language: english
- Release date: July 2, 2002
About The Book
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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