Some isometry groups of Urysohn space
Metric Geometry
2007-05-23 v2 Group Theory
Abstract
We constract various subgroups of the group of isometries of universal Urysohn spaces (unique complete separable metric space which is iniversal and homogeneous) including abelian groups which act transitively, and free groups which are dense in the full isometry group.
Keywords
Cite
@article{arxiv.math/0407186,
title = {Some isometry groups of Urysohn space},
author = {P. J. Cameron and A. M. Vershik},
journal= {arXiv preprint arXiv:math/0407186},
year = {2007}
}
Comments
15 pages, 8 ref