A countably compact topological group with the non-countably pracompact square

Serhii Bardyla; Alex Ravsky; Lyubomyr Zdomskyy

A countably compact topological group with the non-countably pracompact square

General Topology 2020-03-09 v1

Authors: Serhii Bardyla , Alex Ravsky , Lyubomyr Zdomskyy

Abstract

Under Martin's Axiom we construct a Boolean countably compact topological group whose square is not countably pracompact.

Keywords

topological groups general topology

Cite

@article{arxiv.2003.03142,
  title  = {A countably compact topological group with the non-countably pracompact square},
  author = {Serhii Bardyla and Alex Ravsky and Lyubomyr Zdomskyy},
  journal= {arXiv preprint arXiv:2003.03142},
  year   = {2020}
}