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Research Article | Open Access

KC-bitopological spaces

Hamza Qoqazeh1( ), Ali Atoom2, Maryam Alholi3, Eman ALmuhur4, Eman Hussein5, Anas Owledat6, Abeer Al-Nana7
Faculty of Science and Information Technology, Department of Mathematics, Irbid National University, Irbid, Jordan
Faculty of Science, Department of Mathematics, Ajloun National University, Ajloun, Jordan
Faculty of Applied, Taibah University, Al Ula, Saudi Arabia
Faculty of Arts and Science, Department of Mathematics, Applied Science Private University, Amman, Jordan
Faculty of Arts and Science, Department of Mathematics, Amman Arab University, Amman, Jordan
Ministry of Education, Amman, Jordan
Faculty of Science, Department of Mathematics, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia
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Abstract

A topological space (X,τ) is called a KC-space when every compact subset of X is closed. The aim of this paper is to introduce new, namely KC-bitopological spaces and pairwise KC-topological spaces " P- KC-topological spaces". We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on KC-bitopological spaces and pairwise KC-topological spaces. Several examples are discussed, and many well-known theories are generalized.

CLC number: 54A05, 54A10, 54A20, 54D25, 54D30

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AIMS Mathematics
Pages 32182-32199

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Cite this article:
Qoqazeh H, Atoom A, Alholi M, et al. KC-bitopological spaces. AIMS Mathematics, 2024, 9(11): 32182-32199. https://doi.org/10.3934/math.20241545

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Received: 20 August 2024
Revised: 29 October 2024
Accepted: 05 November 2024
Published: 13 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)