Properties of locally semi-compact Ir-topological groups

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-11-24 DOI:10.1515/math-2023-0144

ZhongLi Wang, Wen Chean Teh

引用次数: 0

Abstract

This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces. The proved theorems generalize the corresponding results of Ir-topological group. Finally, we define a quotient topology on the Ir-topological group and study some topological properties of the space.

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局部半紧ir -拓扑群的性质

研究了局部半紧ir -拓扑群的一些拓扑性质，建立了ir -拓扑群与半紧空间的关系。所证明的定理推广了i -拓扑群的相应结果。最后，我们在i -拓扑群上定义了一个商拓扑，并研究了该空间的一些拓扑性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: