On the compactness via primal topological spaces

Ohud Alghamdi; Ohud Alghamdi

doi:10.3934/math.20241542

AIMS Mathematics

2024, Volume 9, Issue 11: 32124-32137. doi: 10.3934/math.20241542

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Research article

On the compactness via primal topological spaces

Ohud Alghamdi ^,

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

Received: 18 August 2024 Revised: 22 October 2024 Accepted: 28 October 2024 Published: 12 November 2024
MSC : 54A05, 54A10

In this paper, we introduce new concepts, including $ \mathfrak{P} $-compactness, strongly $ \mathfrak{P} $-compactness, and super $ \mathfrak{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.
- primal topological space,
- $ \mathfrak{P} $-compactness,
- S$ \mathfrak{P} $-compactness,
- SU$ \mathfrak{P} $-compactness
Citation: Ohud Alghamdi. On the compactness via primal topological spaces[J]. AIMS Mathematics, 2024, 9(11): 32124-32137. doi: 10.3934/math.20241542

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Abstract

In this paper, we introduce new concepts, including $ \mathfrak{P} $-compactness, strongly $ \mathfrak{P} $-compactness, and super $ \mathfrak{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.

References

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