Homotopically nontrivial area contracting maps

In this thesis, we investigate the existence of area contracting maps in a given ho-motopy class. In particular, we give various generalizations of Guth’s h-principle for k-dilation of maps between spheres to other manifolds. This includes all maps from highly connected domains and maps to highly co...

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Bibliographic Details
Main Author: Kumanduri, Luis
Other Authors: Guth, Larry
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/151595