位顶论空间中的操作 Pc-开放集和操作 Pc-分离公理

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-11-01 DOI:10.2478/tmmp-2023-0027

Fathi. H. Khedr, Osama Rashed Sayed

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引用次数: 0

摘要

摘要本文引入了新型广义闭集（称为 ij 前广义闭集），并研究了它们在双拓扑空间中的一些性质。同时，我们还利用它们构建了新型分离公理。此外，我们还引入并研究了位拓扑空间中成对运算 pc 开集和成对运算 pc 分离公理的概念。我们讨论了不同空间的几个有趣特征。我们还给出了这些空间之间的关系。

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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Operation Pc-Open Sets and Operation Pc-Separation Axioms in Bitopological Spaces

Abstract In the present paper, we introduce new types of generalized closed sets called ij -pre-generalized closed sets and study some of their properties in bi-topological spaces. Also, we use them to construct new types of separation axioms. Further, we introduce and study the concepts of pairwise operation pc-open sets and pairwise operation pc-separation axioms in bitopological spaces. Several interesting characterizations of different spaces are discussed. The relationships between these spaces are given.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量