Toplogical semigroups embedded into topological groups
General Topology
2020-06-16 v2
Abstract
In this paper we give conditions under which a topological semigroup can be embedded algebraically and topologically into a compact topological group. We prove that every feebly compact regular first countable cancellative commutative topological semigroup with open shifts is a topological group, as well as every connected locally compact Hausdorff cancellative commutative topological monoid with open shifts. Finally, we use these results to give sufficient conditions on a topological semigroup that guarantee it to have countable cellularity.
Cite
@article{arxiv.2006.00320,
title = {Toplogical semigroups embedded into topological groups},
author = {Julio César Hernández Arzusa},
journal= {arXiv preprint arXiv:2006.00320},
year = {2020}
}