Perfectly supportable semigroups are \sigma-discrete in each Hausdorff shift-invariant topology
General Topology
2014-12-04 v1 Group Theory
Abstract
In this paper we introduce perfectly supportable semigroups and prove that they are \sigma-discrete in each Hausdorff shift-invariant topology. The class of perfectly supportable semigroups includes each subsemigroup S of the semigroup FRel(X) of finitely supported relations on an infinite set X such that S contains the group FSym(X) of finitely supported permutations of X.
Keywords
Cite
@article{arxiv.1112.5727,
title = {Perfectly supportable semigroups are \sigma-discrete in each Hausdorff shift-invariant topology},
author = {Taras Banakh and Igor Guran},
journal= {arXiv preprint arXiv:1112.5727},
year = {2014}
}
Comments
6 pages