Pseudocompact paratopological groups that are topological
arXiv:1406.2001
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 σ-compact pseudocompact paratopological group is a compact topological group. Our particular attention is devoted to periodic and topologically periodic pseudocompact paratopological groups.
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)