More on Externally q-Hyperconvex Subsets of T 0-Quasi-Metric Spaces

被引：0

作者：

Agyingi, Collins Amburo ^{[1
,2
]}

机构：

[1] Univ South Africa, Dept Math Sci, Unisa 003,POB 392, Pretoria, South Africa

[2] African Ctr Adv Studies ACAS, POB 4477, Yaounde, Cameroon

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

quasi-metric space; q-hyperconvexity; external q-hyperconvexity; q-admissible subset;

D O I：

10.37256/cm.5420243193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue earlier research on T 0-quasi-metric spaces which are externally q-hyperconvex. We focus on external q-hyperconvex subsets of T 0-quasi-metric spaces in particular. We demonstrate that a countable family of pairwise intersecting externally q-hyperconvex subsets has a non-empty intersection that is external q-hyperconvex under specific requirements on the underlying space (see Proposition 22). Last but not least, we demonstrate that if A is a subset of a supseparable and externally q-hyperconvex space Y , where Y subset of X , then A is also externally q-hyperconvex in X (Proposition 25).

引用

页码：4323 / 4332

页数：10

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