Non-Roelcke precompactness of groups of surface homeomorphisms
Geometric Topology
2022-02-15 v1 General Topology
Group Theory
Abstract
We prove that no subgroup of the group of boundary-fixing homeomorphisms of a compact surface whose action on the interior of the surface is sufficiently transitive can be Roelcke precompact with the topology inherited from the compact-open topology.
Keywords
Cite
@article{arxiv.2202.06527,
title = {Non-Roelcke precompactness of groups of surface homeomorphisms},
author = {Javier de la Nuez Gonzalez},
journal= {arXiv preprint arXiv:2202.06527},
year = {2022}
}