Recent progress in quantitative topology

Author(s)
Guth, Lawrence
Thumbnail
DownloadAccepted version (329.1Kb)
Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
We discuss recent work of Chambers, Dotterrer, Ferry, Manin, and Weinberger, which resolved a fundamental question in quantitative topology: if f:Sm→Sn is a contractible map with Lipschitz constant L, what can we say about the Lipschitz constant of a nullhomotopy of f?
Date issued
2017
URI
https://hdl.handle.net/1721.1/129398
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Surveys in Differential Geometry
Publisher
International Press of Boston
Citation
Guth, Larry et al. "Recent progress in quantitative topology." Surveys in Differential Geometry 22, 1 (2017): 191 – 216.
Version: Author's final manuscript
ISSN
1052-9233
2164-4713
Collections