Full groups of minimal homeomorphisms
Logic
2014-02-04 v2 Dynamical Systems
Abstract
We study full groups of minimal actions of countable groups by homeomorphisms on a Cantor space , showing that these groups do not admit a compatible Polish group topology and, in the case of -actions, are coanalytic non-Borel inside . We point out that the full group of a minimal homeomorphism is topologically simple. We also study some properties of the closure of the full group of a minimal homeomorphism inside .
Cite
@article{arxiv.1309.3114,
title = {Full groups of minimal homeomorphisms},
author = {Tomás Ibarlucia and Julien Melleray},
journal= {arXiv preprint arXiv:1309.3114},
year = {2014}
}