The oscillation stability problem for the Urysohn sphere: A combinatorial approach

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We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for $\ell_2$ in the context of the Urysohn space $\Ur$. 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.
19 pages

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Metric Geometry, Combinatorics, 22F05

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http://salesiana.dossiersoluciones.com/handle/123456789/221525

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.1326
 http://arxiv.org/abs/0706.1326

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arXiv