*-quasi-pseudometrics on algebraic structures

被引：0

作者：

He, Shi-Yao ^{[1
]}

Jin, Ying-Ying ^{[2
]}

Xie, Li-Hong ^{[1
]}

机构：

[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China

[2] Guangzhou Panyu Polytech, Dept Gen Required Courses, Guangzhou 511483, Peoples R China

来源：

APPLIED GENERAL TOPOLOGY | 2023年 / 24卷 / 02期

关键词：

invariant *-(quasi-)pseudometric; topological group; paratopo-logical groups; topological semigroup;

D O I：

10.4995/agt.2023.19303

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：253 / 265

页数：13

共 7 条

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Jie Liu
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