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

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dc.creatorAbad, Jordi Lopez
dc.creatorVan Thé, Lionel Nguyen
dc.date2007-06-09
dc.date2009-02-27
dc.date.accessioned2026-07-07T12:46:51Z
dc.date.available2026-07-07T12:46:51Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0706.1326
dc.identifierhttp://arxiv.org/abs/0706.1326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221525
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject22F05
dc.titleThe oscillation stability problem for the Urysohn sphere: A combinatorial approach
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