Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/151918
Title: The Square peg problem
Author: Rius Casado, Raquel
Director/Tutor: Naranjo del Val, Juan Carlos
Keywords: Topologia
Treballs de fi de grau
Geometria diferencial
Corbes
Politops
Poliedres
Topology
Bachelor's thesis
Differential geometry
Curves
Polytopes
Polyhedra
Issue Date: 15-Jun-2019
Abstract: [en] The Square Peg Problem, also known as Toeplitz’ Conjecture, is an unsolved problem in the mathematical areas of geometry and topology which states the following: every Jordan curve in the plane inscribes a square. Although it seems like an innocent statement, many authors throughout the last century have tried, but failed, to solve it. It is proved to be true with certain “smoothness conditions” applied on the curve, but the general case is still an open problem. We intend to give a general historical view of the known approaches and, more specifically, focus on an important result that allowed the Square Peg Problem to be true for a great sort of curves: Walter Stromquist’s theorem.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Juan Carlos Naranjo del Val
URI: http://hdl.handle.net/2445/151918
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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