The oscillation stability problem for the Urysohn sphere: A combinatorial approach
Metric Geometry
2009-02-27 v3 Combinatorics
Abstract
We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for in the context of the Urysohn space . 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.
Cite
@article{arxiv.0706.1326,
title = {The oscillation stability problem for the Urysohn sphere: A combinatorial approach},
author = {Jordi Lopez Abad and Lionel Nguyen Van Thé},
journal= {arXiv preprint arXiv:0706.1326},
year = {2009}
}