Lipschitz homotopies of mappings from 3-sphere to 2-sphere

This work focuses on important step in quantitative topology: given homotopic mappings from S^m to S^n of Lipschitz constant L, build the (asymptotically) simplest homotopy between them (meaning having the least Lipschitz constant). The present paper resolves this problem for the first case where Ho...

Full description

Bibliographic Details
Main Author: Berdnikov, Aleksandr
Other Authors: Guth, Larry
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/140367