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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用戶評價
除瞭喜歡囉嗦一堆廢話以外，還是挺好的
评分內容豐富，細節足，代數不夠。教材 正文基本讀完瞭
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评分話超級多，導緻框架不太清晰，對參閱太不友好瞭。很多定義不清楚，同時這本書的證明看著真心纍，經常證明到一半突然就插入一段評論性質的話或者其他命題的證明。有些則直接簡單說參照前麵命題的證明。很多內容一個錶達式能說清楚的事情，楞是沒有。有時候代數式中包含的圖像是比畫圖還直接的。這本書在這方麵卻很欠缺，我實在不覺得這是一本好的教材。
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