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Research Article | Open Access

Novel operators in the frame of primal topological spaces

Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia; ofalghamdi@bu.edu.sa
Department of Mathematics, Faculty of Sciences, Al al-Bayt University, Mafraq 25113, Jordan; omarimutah1@yahoo.com
Department of Mathematics, University College of Umluj, University of Tabuk, Tabuk 48322, Saudi Arabia; m_halqahtani@ut.edu.sa
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Abstract

Our aim in this paper is to define more concepts that are related to primal topological space. We introduce new operators called γ-diamond and γ∗-diamond and explore their main characterizations. We provide results and examples regarding to these operators. Using these new operators, we create a weaker version of the original topology. Additionally, we present some results related to compatibility.

Keywords

primalprimal topological spaceγ-diamond and γ∗-diamond
CLC number: 54A05, 54A10

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25792-25808
DOI: 10.3934/math.20241260

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Cite this article:
Alghamdi O, Al-Omari A, Alqahtani MH. Novel operators in the frame of primal topological spaces. AIMS Mathematics, 2024, 9(9): 25792-25808. https://doi.org/10.3934/math.20241260

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Received: 13 July 2024
Revised: 14 August 2024
Accepted: 22 August 2024
Published: 15 September 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)