Groups not acting on compact metric spaces by homeomorphisms
Group Theory
2016-03-18 v1 Dynamical Systems
General Topology
Abstract
We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space.
Keywords
Cite
@article{arxiv.1603.05330,
title = {Groups not acting on compact metric spaces by homeomorphisms},
author = {Azer Akhmedov},
journal= {arXiv preprint arXiv:1603.05330},
year = {2016}
}
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