Pseudocompact paratopological groups that are topological
Group Theory
2019-08-08 v2
Abstract
We obtain necessary and sufficient conditions when a pseudocompact paratopological group is topological. (2-)pseudocompact and countably compact paratopological groups that are not topological are constructed. It is proved that each 2-pseudocompact paratopological group is pseudocompact and that each Hausdorff \sigma-compact pseudocompact paratopological group is a compact topological group. Our particular attention is devoted to periodic and topologically periodic pseudocompact paratopological groups.
Cite
@article{arxiv.1406.2001,
title = {Pseudocompact paratopological groups that are topological},
author = {Alex Ravsky},
journal= {arXiv preprint arXiv:1406.2001},
year = {2019}
}
Comments
This paper was updated and finally became a part of a larger paper arXiv 1003.5343 (v6), so please read and reference the last version of the latter paper instead of this (1406.2001)