The oscillation stability problem for the Urysohn sphere: A combinatorial approach |
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| Authors: | J Lopez-Abad L Nguyen Van Thé |
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| Institution: | Equipe de Logique Mathématique, UFR de Mathématiques (case 7012), Université Denis Diderot Paris 7, 2 Place Jussieu, 75251 Paris cedex 05, France |
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| Abstract: | We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for ?2 in the context of the Urysohn space U. In particular, we show that this problem reduces to a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many distances. |
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| Keywords: | primary 22F05 secondary 03E02 05C55 05D10 22A05 51F99 |
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