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

Khedr, Fathi Hesham; Sayed, Osama Rashed

doi:10.2478/tmmp-2023-0027

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

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