A Note on Locally Compact Subsemigroups of Compact Groups
General Topology
2020-10-13 v3
Abstract
An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample consequence is that every commutative cancellative pseudocompact locally compact Hausdorff topological semigroup with open shifts is a compact topological group.
Cite
@article{arxiv.2008.10110,
title = {A Note on Locally Compact Subsemigroups of Compact Groups},
author = {Julio César Hernández Arzusa},
journal= {arXiv preprint arXiv:2008.10110},
year = {2020}
}
Comments
There are a lot of mistakes