All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and $C^\ast$-embedded

Autor:	Reznichenko, Evgenii, Tkachenko, Mikhail
Rok vydání:	2023
Předmět:	Mathematics - General Topology
Druh dokumentu:	Working Paper
Popis:	We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and $C^\ast$-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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.11251 Zobrazit plný text záznamu View this record from Arxiv