<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In the present paper, we introduce new types of generalized closed sets called <italic>ij</italic> -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.</p>
</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.

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

Department of Mathematics, Faculty of Science

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Nov 16, 2023

Page range: 101 - 120

Received: Jan 06, 2023

DOI: https://doi.org/10.2478/tmmp-2023-0027

Keywords
bitopological spaces, bispaces, operations, preopen sets, separation axioms

© 2023 Fathi Hesham Khedr et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 16, 2023

Page range: 101 - 120

Received: Jan 06, 2023

DOI: https://doi.org/10.2478/tmmp-2023-0027

Keywordsbitopological spaces, bispaces, operations, preopen sets, separation axioms

© 2023 Fathi Hesham Khedr et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
bitopological spaces, bispaces, operations, preopen sets, separation axioms