图书标签: 数学 代数拓扑 algebraic_topology 拓扑 拓扑学 Mathematics 经典 Topology
发表于2025-04-26
Algebraic Topology pdf epub mobi txt 电子书 下载 2025
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.
第四章就不读了。。
评分Hatcher 这本书貌似是代数拓扑的经典教材呢,对我而言呢,希望作为本科数学学习的一个美好的closure.
评分内容丰富,细节足,代数不够。教材 正文基本读完了
评分jing dian
评分jing dian
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Algebraic Topology pdf epub mobi txt 电子书 下载 2025