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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复习一年前学过的同调论。书中例子非常多，然而我几何直观还是一如既往的差。同伦论和Additional Topics 没仔细看。另外，这本书的字体大小和行距让人非常舒服，比GTM看起来舒服很多。
评分Not a fan of Hatcher at all...
评分真难读。。
评分Reread for Professor Maryam Mirzakhani - most attractive woman I've ever known.
评分除了喜欢啰嗦一堆废话以外，还是挺好的
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