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Research Article | Open Access

Regularity and normality on primal spaces

Department of Mathematics, Faculty of Sciences, Al al-Bayt University, Mafraq 25113, Jordan
Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia
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Abstract

It is commonly known that some topological spaces include structures that may be used to expand abstract notions. Primal structure is one such sort of structure. We provided the primal Hausdorff class of spaces, which included the class of all Hausdorff spaces. Furthermore, we provide the concepts of primal regular spaces and primal normal spaces. We present new theorems and results.

Keywords

primalregular spacenormal spaceP-regularP-normalgrillprimal space
CLC number: 54A05, 54A10

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AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 7662-7672
DOI: 10.3934/math.2024372

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Cite this article:
Al-Omari A, Alghamdi O. Regularity and normality on primal spaces. AIMS Mathematics, 2024, 9(3): 7662-7672. https://doi.org/10.3934/math.2024372

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Received: 04 January 2024
Revised: 06 February 2024
Accepted: 18 February 2024
Published: 15 March 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)