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


The Geometry and Topology of Coxeter Groups.

简体网页||繁体网页
Michael W. Davis
Princeton University Press
2007-10-29
600
USD 92.50
Hardcover
9780691131382

图书标签: 数学  topology  of  geometry  and  Topology  The  Princeton   


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发表于2024-12-25

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

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

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



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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.

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

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