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.
發表於2025-02-24
Algebraic Topology 2025 pdf epub mobi 電子書 下載
圖書標籤: 數學 代數拓撲 algebraic_topology 拓撲 拓撲學 Mathematics 經典 Topology
藉著qual逼著自己過瞭一遍,這纔叫拓撲嘛。
評分除瞭喜歡囉嗦一堆廢話以外,還是挺好的
評分補標記,17年底讀的。作者個人主頁有電子版pdf和errata。
評分補標記,17年底讀的。作者個人主頁有電子版pdf和errata。
評分Reread for Professor Maryam Mirzakhani - most attractive woman I've ever known.
Algebraic Topology 2025 pdf epub mobi 電子書 下載