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Möbius bands and the square peg problem
Geometry/Topology| Speaker: | Marco Golla, Universite de Nantes |
| Location: | 3106 MSB |
| Start time: | Tue, Dec 10 2019, 1:30PM |
The square peg problem asks to prove that every continuous Jordan curve in the plane contains four points that form the vertices of a square. Inspired by Hugelmeyer's approach for smooth Jordan curves, we give a topological proof for (locally) 1-Lipschitz functions using Möbius bands and quite elementary 4-dimensional topology. This is joint work (in progress) with Peter Feller.