New Separation Axioms in Bitopological Spaces

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2019-08-22 DOI:10.18311/JIMS/2019/22160

M. Abo-Elhamayel, Z. Salleh

引用次数: 0

Abstract

In this paper, new concepts of separation axioms are intro- duced in bitopological spaces. The implications of these new separation axioms among themselves as well as with other known separation ax- ioms are obtained. Fundamental properties of the suggested concepts are also investigated. Furthermore, we introduced the concept of R ij - neighborhoods and investigate some of their characterizations.

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双拓扑空间中的新分离公理

本文在双拓扑空间中引入了分离公理的新概念。获得了这些新分离公理之间以及与其他已知分离公理之间的含义。还研究了所提出概念的基本性质。此外，我们引入了R ij-邻域的概念，并研究了它们的一些性质。

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

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.