Algebraic Topology

基本信息

Format:Paperback / softback 556 pages, Worked examples or Exercises

Publisher:Cambridge University Press

Imprint:Cambridge University Press

ISBN:9780521795401

Published:3 Dec 2001

Weight:1024g

Dimensions:255 x 177 x 30 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: 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 of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: 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 a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.

• Broad, readable coverage of the subject

• Geometric emphasis gives students better intuition

• Includes many examples and exercises