On the compactness via primal topological spaces

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 pr...

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Main Author: Ohud Alghamdi
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
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Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241542?viewType=HTML
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author Ohud Alghamdi
author_facet Ohud Alghamdi
author_sort Ohud Alghamdi
collection DOAJ
description 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.
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issn 2473-6988
language English
publishDate 2024-11-01
publisher AIMS Press
record_format Article
series AIMS Mathematics
spelling doaj-art-423e44582d5c4e8e9519d6e5518e3eb32025-08-20T01:53:36ZengAIMS PressAIMS Mathematics2473-69882024-11-01911321243213710.3934/math.20241542On the compactness via primal topological spacesOhud Alghamdi 0Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha 65527, Saudi ArabiaIn this paper, we introduce new concepts, including $ \mathfrak{P} $-compactness, strongly $ \mathfrak{P} $-compactness, and super $ \mathfrak{P} $-compactness, in view of a primal topological space structure. We provide some results regarding to these concepts. Additionally, some examples are presented to illustrate the relations between these concepts.https://www.aimspress.com/article/doi/10.3934/math.20241542?viewType=HTMLprimal topological space$ \mathfrak{p} $-compactnesss$ \mathfrak{p} $-compactnesssu$ \mathfrak{p} $-compactness
spellingShingle Ohud Alghamdi
On the compactness via primal topological spaces
AIMS Mathematics
primal topological space
$ \mathfrak{p} $-compactness
s$ \mathfrak{p} $-compactness
su$ \mathfrak{p} $-compactness
title On the compactness via primal topological spaces
title_full On the compactness via primal topological spaces
title_fullStr On the compactness via primal topological spaces
title_full_unstemmed On the compactness via primal topological spaces
title_short On the compactness via primal topological spaces
title_sort on the compactness via primal topological spaces
topic primal topological space
$ \mathfrak{p} $-compactness
s$ \mathfrak{p} $-compactness
su$ \mathfrak{p} $-compactness
url https://www.aimspress.com/article/doi/10.3934/math.20241542?viewType=HTML
work_keys_str_mv AT ohudalghamdi onthecompactnessviaprimaltopologicalspaces