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Möbius bands and the square peg problemGeometry/Topology
|Speaker:||Marco Golla, Universite de Nantes|
|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.