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2 - Examples of Aspherical Manifolds

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

We discuss the classical construction of locally symmetric manifolds, and also subsequent constructions, due to Davis, Gromov, Piatetski-Shapiro, and Thurston, of aspherical manifolds, to which the Borel conjecture applies.

Keywords

amalgamated free productlatticesarithmetic latticescuspsDehn surgeryreflection groupshyperbolizationnonarithmetic latticesDavis construction
Type
Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 11 - 30
Publisher: Cambridge University Press
Print publication year: 2022

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