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6 - Equivariant Borel Conjecture

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

The Borel heuristic makes some preictions about group actions, but in this chapter we see that some are reasonably well founded, with some counterexamples at the prime 2, and others are false. Partly this is explained by means of the difference between equivariant and isovariant topology, and also in restricting the class of equivariantly aspherical spaces that are expected to be rigid.

Keywords

equivariant Borel conjectureNilUNilalgebraic K–theoryFarrell–Jones conjecturestratified surgeryembeddinghomotopy fixed setisovariant
Type
Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 186 - 257
Publisher: Cambridge University Press
Print publication year: 2022

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