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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Not a fan of Hatcher at all...
评分这本超厚的书在今晚的考试和夜宵之后就会被放在书架上了。 我可能会忘记所有的代数拓扑的东西，但忘不掉这个令人感动的夜晚。
评分补标记，17年底读的。作者个人主页有电子版pdf和errata。
评分除了喜欢啰嗦一堆废话以外，还是挺好的
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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