ar X iv : 0 70 6 . 13 26 v 3 [ m at h . M G ] 2 7 Fe b 20 09 THE OSCILLATION STABILITY PROBLEM FOR THE URYSOHN SPHERE : A COMBINATORIAL APPROACH

Abstract

We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for l2 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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Cite this paper

@inproceedings{Lpez2008arXI, title={ar X iv : 0 70 6 . 13 26 v 3 [ m at h . M G ] 2 7 Fe b 20 09 THE OSCILLATION STABILITY PROBLEM FOR THE URYSOHN SPHERE : A COMBINATORIAL APPROACH}, author={Jose-Luis L{\'o}pez and Lionel Nguyen Van Th{\'e}}, year={2008} }