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7 - Existential Problems

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

Although the Borel conjecture is a uniqueness question, it has implications for problems of whether certain manifolds exist. We shall discuss a conjecture of Wall, and some of its evidence. And also within transformation groups, the Nielsen problem and an analogue of Connes and Raymond. Further afield, we discuss manifolds with excessive symmetry.

Keywords

Wall’s conjecturePoincaré duality groupsNielsen realization problemhidden symmetryharmonic maphyperbolic groups
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Chapter
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Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 258 - 290
Publisher: Cambridge University Press
Print publication year: 2022

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  • Existential Problems
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.008
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  • Existential Problems
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Existential Problems
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.008
Available formats
×