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The Geometry and Topology of Coxeter Groups. (LMS-32) (Hardcover) Loot Price: R2,664
Discovery Miles 26 640
You Save: R281 (10%)
The Geometry and Topology of Coxeter Groups. (LMS-32) (Hardcover): Michael W. Davis

The Geometry and Topology of Coxeter Groups. (LMS-32) (Hardcover)

Michael W. Davis

Series: London Mathematical Society Monographs

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List price R2,945 Loot Price R2,664 Discovery Miles 26 640 | Repayment Terms: R250 pm x 12* You Save R281 (10%)

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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 Poincare 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."

General

Imprint: Princeton University Press
Country of origin: United States
Series: London Mathematical Society Monographs
Release date: November 2007
First published: 2007
Authors: Michael W. Davis
Dimensions: 235 x 152 x 37mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 600
ISBN-13: 978-0-691-13138-2
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 0-691-13138-4
Barcode: 9780691131382

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