On (i, j)-ù-preopen sets

Rajesh, N.; Mustafa, Jamal M.

doi:10.4067/s0716-09172012000300004

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2023

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“…In [13], the authors used a different technique of that in [1] to study the concepts of operations on bitopological spaces by generalizing the results obtained in [10,21] to such spaces. In [22], the authors introduced and studied the notion of (i, j )-ω-preopen sets as a generalization of (i, j )--preopen sets in bitopological space. The rest of this paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

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

Khedr,

Sayed

2023

Tatra Mountains Mathematical Publications

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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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Section: Introductionmentioning

confidence: 99%