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

Fathi Hesham Khedr; Osama Rashed Sayed

doi:10.2478/tmmp-2023-0027

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

Tatra Mountains Mathematical Publications

Volume 85 (2023): Issue 3 (November 2023)

By: Fathi Hesham Khedr and Osama Rashed Sayed

Open Access

|Nov 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0027 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 101 - 120

Submitted on: Jan 6, 2023

Published on: Nov 16, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

bitopological spaces,

Related subjects:

© 2023 Fathi Hesham Khedr, Osama Rashed Sayed, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 85 (2023): Issue 3 (November 2023)