All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and C⁎-embedded

Evgenii Reznichenko,Mikhail Tkachenko

doi:10.1016/j.topol.2023.108728

All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and C⁎-embedded

Evgenii Reznichenko, Mikhail Tkachenko

https://doi.org/10.1016/j.topol.2023.108728

Copy DOI

Journal: Topology and its Applications	Publication Date: Sep 21, 2023
Citations: 1

Affiliation: Lomonosov Moscow State University, Universidad Autónoma Metropolitana

#Quasitopological Group #Countable Subsets + Show 1 more

Abstract
Full-Text PDF
Similar Papers

Abstract

We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and C⁎-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.

Full Text