This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.

This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.

This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition i...(展开全部)

This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition i...(展开全部)

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract ...(展开全部)

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract ...(展开全部)

本书是一部代数拓扑领域的入门级书籍，特别强调同调理论的基础和应用。具备Abelian群和点集拓扑的基本知识可完全读懂这本书。第一章既讲述奇异同调的本质，又介绍一些重要的应用。这样，学生可以很好的抓住材料的本质。紧接着讲述了贴空间、有限CW复形、Eilenberg-Steenrod定理、上同调积、流形、庞加莱对偶和不动点理论。通书运用大量的例子和图表，让表述尽可能的清楚。以基本概念为核心，尽可能避免一些极端的案例。本书最终目标是作为本科生教程或者自学教程。在第二版中进行了大量的扩展，增加了新的一章，包括覆盖定理以及许多练习。

William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After the War he received his Ph.D. from Princeton University and spent two additional years there as a post-doctoral research assistant. He then taught for ten years on the faculty of Br...(展开全部)