代数拓扑

出版时间：2005-3  出版社：清华大学  作者：哈彻Hatcher  页数：544  
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内容概要

This geometrically flavored introduction to algebraic topology has the dual goals of serving as a textbook for a standard graduate-level course and as a background reference for many additional topics that do not usually fit into such a course. The broad coverage includes both the homological and homotopical sides of the subject. Care has been taken to present a readable, self-contained exposition, with many examples and exercises, aimed at the student or the researcher from another area of mathematics seeing the subject for the first time.    The four main chapters present the basic core material of algebraic topology: fundamental groups, homology, cohomology, and higher homotopy groups. Each chapter concludes with a generous selection of optional topics, accounting for nearly half the book altogether.

书籍目录

PrefaceChapter 0 Some Underlying Geometric NotionsChapter 1 The Fundamental Group 1.1 Basic Constructions 1.2 Van Kampen's Theorem 1.3 Coverng Spaces Additional TopicsChapter 2 Homology	 2.1 Simplicial and Singular Homology 2.2 Computaiions and Applicaltions 2.3 The Formal Viewpoint Additional TopicsChapter 3 Cohomology 3.1 Cohomology Groups 3.2 Cup Product 3.3 Poincare Duality Additional TopicsChapter 4 Homotopy Theory 4.1 Homotopy Groups 4.2 Elementary Methods of Calculation 4.3 Connections with Cohomology Additional Topics Appendox Bibliography Index

用户评论 (总计3条)

•   目前最流行的代数拓扑,泊克立的教材
•   这是一本近来最经典的代数拓扑的书了，推荐看下，数学的朋友们当当送货速度还可以，顺便赞一下
•   此书侃侃而谈,例子很多,讲法有点随意,不是一般的数学讲法.如果喜欢这种风格,那就看这本书吧,不喜欢,会很难受...