On locally compact topological graph inverse semigroups
General Topology
2017-09-12 v3
Abstract
In this paper we characterise graph inverse semigroups which admit only discrete locally compact semigroup topology. This characterization provides a complete answer on the question of Z. Mesyan, J. D. Mitchell, M. Morayne and Y. H. P\'eresse posed in their paper "Topological graph inverse semigroups".
Cite
@article{arxiv.1706.08594,
title = {On locally compact topological graph inverse semigroups},
author = {Serhii Bardyla},
journal= {arXiv preprint arXiv:1706.08594},
year = {2017}
}