Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660163 | Topology and its Applications | 2008 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology