A Urysohn lemma for regular spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.16720

Ankit Gupta, R. D. Sarma

引用次数: 0

Abstract

Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space.

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正则空间的一个Urysohn引理

利用m开集的概念，引入并研究了m正则性和m正态性。这两个概念在任意积下都是封闭的。我们发现m -正规空间满足一个类似于Urysohn引理的结果。证明了正则空间中的m个连续函数可以分离闭集。

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.