Investigation of Limit Points and Separation Axioms Using Supra $\beta$-Open Sets

T. M. Al-Shami; E. A. Abo-Tabl; B. A. Asaad

doi:10.35834/2020/3202171

Abstract

The purpose of this article is to introduce new types of limit points and separation axioms on supra topological spaces by using supra $\beta$-open sets. We explore some characterizations and explain the relationships between them with the help of examples. Also, we study many features of them and give sufficient conditions for some equivalent relations between them.

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T. M. Al-Shami. E. A. Abo-Tabl. B. A. Asaad. "Investigation of Limit Points and Separation Axioms Using Supra $\beta$-Open Sets." Missouri J. Math. Sci. 32 (2) 171 - 187, November 2020. https://doi.org/10.35834/2020/3202171

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Published: November 2020

First available in Project Euclid: 6 November 2020

MathSciNet: MR4171137

Digital Object Identifier: 10.35834/2020/3202171

Subjects:

Primary: 54A05

Secondary: 54C15 , 54D10 , 54D15

Keywords: $S \beta T_i$-space ($i=0,1,2,3,4$) , supra $\beta$ limit point , supra $\beta$-open set

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