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

被引：1

作者：

Reznichenko, Evgenii ^{[1
]}

Tkachenko, Mikhail ^{[2
]}

机构：

[1] M V Lomonosov Moscow State Univ, Mech & Math Fac, Dept Gen Topol & Geometry, Leninskie Gory 1, Moscow 199991, Russia

[2] Univ Autonoma Metropolitana, Dept Matemat, Ave San Rafael Atlixco 186, Mexico City 09340, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2024年 / 341卷

关键词：

Pseudocompact groups; Quasitopological groups; Korovin orbit; Mal'tsev space; CONTINUITY;

D O I：

10.1016/j.topol.2023.108728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：7

共 13 条

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