一些拓扑空间的刻画

IF 1 Q1 MATHEMATICS
Chawalit Boonpok, Montri Thongmoon
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引用次数: 0

摘要

本文讨论了一些拓扑空间的概念。首先,我们引入δs(Λ, p)-开集的概念。讨论了δs(Λ, p)开集的一些性质。其次,引入s(Λ, p)连通空间的概念。此外,我们利用δs(Λ, p)开集给出了s(Λ, p)连通空间的几个表征。第三,我们应用s(Λ, p)-开集的概念,提出并研究了s(Λ, p)-正则空间和s(Λ, p)-正规空间的新类别。特别地,建立了s(Λ, p)-正则空间和s(Λ, p)-正规空间的一些表征。第四,引入并研究了s(Λ, p)-T2空间和s(Λ, p)-Urysohn空间的概念。最后,研究了S(Λ, p)-闭空间的概念。研究了S(Λ, p)-闭空间的基本性质和特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Characterizations of Some Topological Spaces
This paper is concerned with the concepts of some topological spaces. Firstly, we introduce the notions of δs(Λ, p)-open sets. Some properties concerning δs(Λ, p)-open sets are discussed. Secondly, the concept of s(Λ, p)-connected spaces is introduced. Moreover, we give several characterizations of s(Λ, p)-connected spaces by utilizing δs(Λ, p)-open sets. Thirdly, we apply the notion of s(Λ, p)-open sets to present and study new classes of spaces called s(Λ, p)-regular spaces and s(Λ, p)-normal spaces. Especially, some characterizations of s(Λ, p)-regular spaces and s(Λ, p)-normal spaces are established. Fourthly, we introduce and investigate the concepts of s(Λ, p)-T2 spaces and s(Λ, p)-Urysohn spaces. Finally, the notion of S(Λ, p)-closed spaces is studied. Basic properties and characterizations of S(Λ, p)-closed spaces are considered.
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来源期刊
CiteScore
1.30
自引率
28.60%
发文量
156
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