| 书目名称 | Topological Methods in Group Theory |
| 编辑 | Ross Geoghegan |
| 视频video | |
| 概述 | Covers important topics not covered elsewhere.Provides an accessible review of general topology.Provides in detail the topological tools needed for group theory.Contains more than 40 figures.Immense p |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .Topological Methods in Group Theory. is about the interplay between algebraic topology and the theory of infinite discrete groups. The author has kept three kinds of readers in mind: graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledge to the current research literature in geometric, combinatorial and homological group theory; group theorists who would like to know more about the topological side of their subject but who have been too long away from topology; and manifold topologists, both high- and low-dimensional, since the book contains much basic material on proper homotopy and locally finite homology not easily found elsewhere...The book focuses on two main themes:..1. Topological Finiteness Properties of groups (generalizing the classical notions of "finitely generated" and "finitely presented");..2. Asymptotic Aspects of Infinite Groups (generalizing the classical notion of "the number of ends of a group")...Illustrative examples treated in some detail include: Bass-Serre theory, Coxeter groups, Thompson groups, Whitehead‘s contractible 3-manifold, Davis‘s exotic contractible manifolds in dimensions greater |
| 出版日期 | Textbook 2008 |
| 关键词 | Algebraic topology; CW complex; Cohomology; Fundamental group; Group theory; Homotopy; algebra; homology; ho |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-74614-2 |
| isbn_softcover | 978-1-4419-2564-0 |
| isbn_ebook | 978-0-387-74614-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2008 |
发表于 2025-3-21 18:14:00
