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Equilateral triangles on a Jordan curve and a generalization of a theorem of Dold |
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| Authors: | Pavle VM Blagojevi? Aleksandra S Dimitrijevi? Blagojevi? John McCleary |
| Institution: | a Mathematical Institute SANU, Belgrade, Serbia b Faculty for Agriculture, Zemun, Serbia c Department of Mathematics, Vassar College, Poughkeepsie, NY, USA |
| Abstract: | Let  be a Jordan curve in the plane. It is a simple topological riddle to determine if there is an equilateral triangle with vertices on γ. By reformulating this question in the paradigm of configuration spaces and test maps, we can solve this riddle using a Borsuk-Ulam type theorem obtained using equivariant methods. |
| Keywords: | 53A04 55R80 55N91 05B30 |
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