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Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Allen Hatcher 作者

Cambridge University Press

译者

2001-11-15 出版日期

556 页数

USD 95.00 价格

Hardcover

丛书系列

9780521791601 图书编码

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Algebraic Topology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Algebraic Topology 在线电子书图书描述

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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