Recent progress in quantitative topology
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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?
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Surveys in Differential Geometry
International Press of Boston
Guth, Larry et al. "Recent progress in quantitative topology." Surveys in Differential Geometry 22, 1 (2017): 191 – 216.
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