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Research Article | Open Access

Generalized primal topological spaces

Hanan Al-Saadi1( ), Huda Al-Malki2
Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia
Department of Basic Sciences, Adham University College, Umm Al-Qura University, Saudi Arabia
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Abstract

In the present article, a new category of mathematical structure is described based on the topological structure "primal" and the notion of "generalized". Such a structure is discussed in detail in terms of topological properties and some basic theories. Also, we introduced some operators using the concepts "primal" and "generalized primal neighbourhood", which have a lot of nice properties.

Keywords

generalized primal topologygeneralized primal neighbourhood(g, P)-open setscl⋄-operatorΦ-operator
CLC number: 54A05, 54A10, 54A20

References

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24162-24175
DOI: 10.3934/math.20231232

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Cite this article:
Al-Saadi H, Al-Malki H. Generalized primal topological spaces. AIMS Mathematics, 2023, 8(10): 24162-24175. https://doi.org/10.3934/math.20231232

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Received: 17 June 2023
Revised: 16 July 2023
Accepted: 30 July 2023
Published: 15 October 2023
©2023 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)