| 书目名称 | Topology |
| 编辑 | Marco Manetti |
| 视频video | |
| 概述 | Provides a comprehensive treatment of the basic theory and of some complementary topics.Contains lots of exercises, of various difficulty level.Contains an original topological approach to sheaf cohom |
| 丛书名称 | UNITEXT |
| 图书封面 |  |
| 描述 | .This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn‘s lemma; topological spaces and continuous functions; con- nectedness and compactness; Alexandrov compactification; quotient topol- ogies; countability and separation axioms; prebasis and Alexander‘s theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk‘s theorems; free groups and free product of groups and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. ..This second edition contains a new chapter with a topological introduction to sheaf cohomology and applications.It also corrects some inaccuracies and some additional exercises are proposed...The textbook is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications |
| 出版日期 | Textbook 2023Latest edition |
| 关键词 | metric and topological spaces; compact and connected spaces; sheaf cohomology; homotopy and fundamental |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-031-32142-9 |
| isbn_softcover | 978-3-031-32141-2 |
| isbn_ebook | 978-3-031-32142-9Series ISSN 2038-5714 Series E-ISSN 2532-3318 |
| issn_series | 2038-5714 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:47:53
