A Wallace semigroup whose every finite power is countably compact
General Topology
2024-03-08 v2 Logic
Abstract
We show that, assuming the existence of incomparable selective ultrafilters, there exists a Wallace semigroup whose infinite countable power is the least power which fails to be countably compact. This answers positively Question 9.4 of \cite{Tomita15}.
Keywords
Cite
@article{arxiv.2403.00205,
title = {A Wallace semigroup whose every finite power is countably compact},
author = {Juan Luis Jaisuño Fuentes-Maguiña and Vinicius de Oliveira Rodrigues and Artur Hideyuki Tomita},
journal= {arXiv preprint arXiv:2403.00205},
year = {2024}
}
Comments
Some typos fixed