The Geometry and Topology of Coxeter Groups. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Michael W. Davis 作者

Princeton University Press

译者

2007-10-29 出版日期

600 页数

USD 92.50 价格

Hardcover

丛书系列

9780691131382 图书编码

The Geometry and Topology of Coxeter Groups. 在线电子书图书标签: 数学 topology of geometry and Topology The Princeton

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The Geometry and Topology of Coxeter Groups. 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Geometry and Topology of Coxeter Groups. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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The Geometry and Topology of Coxeter Groups. 在线电子书著者简介

The Geometry and Topology of Coxeter Groups. 在线电子书图书目录

The Geometry and Topology of Coxeter Groups. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

The Geometry and Topology of Coxeter Groups. 在线电子书图书描述

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincar Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.

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