| 书目名称 | Fundamentals of Algebraic Topology |
| 编辑 | Steven H. Weintraub |
| 视频video | |
| 概述 | Covers the essential results of algebraic topology in a concise and pragmatic manner.Provides an introduction to manifolds, CW complexes, and homotopy theory.Explains applications of algebraic topolog |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .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 illuminated..Assuming 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.. |
| 出版日期 | Textbook 2014 |
| 关键词 | Algebraic Topology; Homology Theory; Homotopy Theory; Manifolds |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4939-1844-7 |
| isbn_softcover | 978-1-4939-4885-7 |
| isbn_ebook | 978-1-4939-1844-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media, LLC, part of Springer Nature 2014 |
发表于 2025-3-21 16:16:42
