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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.