The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms

Zanyar A. Ameen, Tareq M. Al-shami, Abdelwaheb Mhemdi, Mohammed E. El-Shafei and Naeem Jan

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than soft θ-closure. Both soft θ-closure and soft θ-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri-topologies and soft Tj-topologies, for i=0,1 and j=0,1,2.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9073944

DOI: 10.1155/2022/9073944

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