Fundamentals of Algebraic Topology

丛 书 名：Graduate Texts in Mathematics 270

版本说明：1

作     者：Steven Weintraub 

I S B N：(纸本) 9781493918430 

出 版 社：Springer 

出 版 年：2014年

页      数：169页

馆 藏 号：201808003...

摘      要：This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are *** a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.