Pseudocompact primitive topological inverse semigroups
Group Theory
2013-10-22 v3 General Topology
Abstract
In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space. Also we prove that the Stone-\v{C}ech compactification of a pseudocompact primitive topological inverse semigroup is a compact primitive topological inverse semigroup.
Keywords
Cite
@article{arxiv.1306.2612,
title = {Pseudocompact primitive topological inverse semigroups},
author = {Oleg Gutik and Kateryna Pavlyk},
journal= {arXiv preprint arXiv:1306.2612},
year = {2013}
}