On w-Isbell-convexity

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-04-01 DOI:10.4995/agt.2022.15739

O. Olela Otafudu, Katlego Sebogodi

引用次数: 0

Abstract

Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity in the setting of modular pseudometric that is herein called w-Isbell-convexity. We show that on a modular set, w-Isbell-convexity is equivalent to hyperconvexity whenever the modular pseudometric is continuous from the right on the set of positive numbers.

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在w-Isbell-convexity

为了推广经典的线性空间上的模概念，Chistyakov引入并发展了任意集合的模度量的概念。在本文中，我们引入了模伪度量的超凸性理论，这里称之为w- isbell凸性。我们证明了在模集合上，当模伪度量在正数集合上从右连续时，w- isbell凸性等价于超凸性。

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

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.