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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Format: | Thesis |
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Massachusetts Institute of Technology
2023
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Online Access: | https://hdl.handle.net/1721.1/151595 |