代数结构上的拟伪度量

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-10-02 DOI:10.4995/agt.2023.19303

Shi-Yao He, Ying-Ying Jin, Li-Hong Xie

引用次数: 0

摘要

本文引入了★-(拟)-伪度量空间的一些概念，并给出了一个非拟伪度量空间的★-拟伪度量空间的例子。我们还研究了★-拟伪度量半拓扑群是准拓扑群或拓扑群的条件。

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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★-quasi-pseudometrics on algebraic structures

In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopological groups or topological groups.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.