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商品詳細
The Geometry and Topology of Coxeter Groups. Second Edition 2025.
・ISBN 978-3-031-91302-0 hard EUR 169.99
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| 著者・編者 | Davis, Michael W., |
|---|---|
| シリーズ | Springer Monographs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 582 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15082＞ |
解説
This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory. It examines the connections between Coxeter groups and major open problems in topology related to aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer Conjectures. The book also discusses key topics in geometric group theory and topology, including Hopf's theory of ends, contractible manifolds and homology spheres, the Poincare Conjecture, and Gromov's theory of CAT(0) spaces and groups. In addition, this second edition includes new chapters on Artin groups and their Betti numbers. Written by a leading expert, the book is an authoritative reference on the subject.