All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and $C^\ast$-embedded
General Topology
2023-08-22 v3
Abstract
We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and -embedded. Consequently, any infinite pseudocompact Korovin orbit is not homeomorphic to a topological group. Moreover, infinite pseudocompact Korovin orbits are not homeomorphic to any Mal'tsev space.
Keywords
Cite
@article{arxiv.2302.11251,
title = {All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and $C^\ast$-embedded},
author = {Evgenii Reznichenko and Mikhail Tkachenko},
journal= {arXiv preprint arXiv:2302.11251},
year = {2023}
}