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Research Article | Open Access

On the compactness via primal topological spaces

Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha 65527, Saudi Arabia
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Abstract

In this paper, we introduce new concepts, including P-compactness, strongly P-compactness, and super P-compactness, in view of a primal topological space structure. We provide some results regarding to these concepts. Additionally, some examples are presented to illustrate the relations between these concepts.

Keywords

primal topological spaceP-compactnessSP-compactnessSUP-compactness
CLC number: 54A05, 54A10

References

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 32124-32137
DOI: 10.3934/math.20241542

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Cite this article:
Alghamdi O. On the compactness via primal topological spaces. AIMS Mathematics, 2024, 9(11): 32124-32137. https://doi.org/10.3934/math.20241542

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Received: 18 August 2024
Revised: 22 October 2024
Accepted: 28 October 2024
Published: 12 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)