Axioms of Countability Via Preopen Sets

• Authors: Nagah A. Elbhilil , Khadiga Ali Arwini
• Languages of publication: EN

Abstracts

EN

We used the concept of preopen sets to introduce a particular form of the μ-countability axioms; namely pre-countability axioms, this class of axioms includes; pre-separable spaces, pre-first countable spaces and pre-second countable spaces. In this article, we study the topological properties of these spaces, as the hereditary property and their images by some particular functions; moreover we investigate the behavior of pre-countability axioms in some special spaces as; submaximal spaces, regular spaces and partition spaces.

Keywords

EN

Topological space and generalizations; countability axioms; generalized continuity; regular spaces; separability; subspaces

Discipline

• INFORMATICS: INFORMATICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2021
• Volume: 152
• Pages: 111-125

Contributors

author

Nagah A. Elbhilil

• Department of Mathematics, Tripoli University, Tripoli, Libya

author

Khadiga Ali Arwini

• Department of Mathematics, Tripoli University, Tripoli, Libya

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• Document Type: article