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arXiv · 0706.1326

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

Jordi Lopez Abad·Lionel Nguyen Van Thé
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Abstract

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.

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Jordi Lopez Abad, Lionel Nguyen Van Thé. 2009-02-27. The oscillation stability problem for the Urysohn sphere: A combinatorial approach. https://arxiv.org/abs/0706.1326

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