Automorphism groups of universal diversities
Logic
2020-04-27 v1 Group Theory
Abstract
We prove that the automorphism group of the Urysohn diversity is a universal Polish group. Furthermore we show that the automorphism group of the rational Urysohn diversity has ample generics, a dense conjugacy class and that it embeds densely into the automorphism group of the (full) Urysohn diversity. It follows that this latter group also has a dense conjugacy class.
Cite
@article{arxiv.2004.11798,
title = {Automorphism groups of universal diversities},
author = {Andreas Hallbäck},
journal= {arXiv preprint arXiv:2004.11798},
year = {2020}
}