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Operation pc-open sets and operation pc-separation axioms in bitopological spaces

Research Authors
F. H. Khedr and O. R. Sayed
Research 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 bitopological 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.

DOI: 10.2478/tmmp-2023-0027

Research Department
Research Journal
Tatra Mountains Mathematical Publications
Research Member
Research Publisher
© 2023 Mathematical Institute, Slovak Academy of Sciences.
Research Vol
85
Research Year
2023
Research Pages
101-120