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.
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内容丰富，细节足，代数不够。教材 正文基本读完了
评分话超级多，导致框架不太清晰，对参阅太不友好了。很多定义不清楚，同时这本书的证明看着真心累，经常证明到一半突然就插入一段评论性质的话或者其他命题的证明。有些则直接简单说参照前面命题的证明。很多内容一个表达式能说清楚的事情，楞是没有。有时候代数式中包含的图像是比画图还直接的。这本书在这方面却很欠缺，我实在不觉得这是一本好的教材。
评分补标记，17年底读的。作者个人主页有电子版pdf和errata。
评分话超级多，导致框架不太清晰，对参阅太不友好了。很多定义不清楚，同时这本书的证明看着真心累，经常证明到一半突然就插入一段评论性质的话或者其他命题的证明。有些则直接简单说参照前面命题的证明。很多内容一个表达式能说清楚的事情，楞是没有。有时候代数式中包含的图像是比画图还直接的。这本书在这方面却很欠缺，我实在不觉得这是一本好的教材。
评分学到第二章，强调几何直观结果例子真的多但证明也看得累……
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