Generalizations of Regular Closed Set

• Authors: Mabrouka Mohammed Almarghani , Khadiga Ali Arwini
• Languages of publication: EN

Abstracts

EN

In this article, we introduce several types of generalized regular closed sets in topological spaces, using the concepts of v-sets, the class of generalizations contains the sets; regular v-sets, generalized regular v-sets, generalized star v-set and generalized star regular ᴠ-set. We illustrate the inter-relations between these sets, then we study the characterization of this class, which relative to unions, intersections and subspaces, finally we investigate their behavior in regular spaces and extremely disconnected spaces.

Keywords

EN

Topological space and generalizations; extremely disconnected space; regular space; subspaces

Discipline

• INFORMATICS: INFORMATICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2021
• Volume: 152
• Pages: 55-68

Contributors

author

Mabrouka Mohammed Almarghani

• Mathematics Department, Higher Institute of Science and Technology, Tripoli, Libya

author

Khadiga Ali Arwini

• Mathematics Department, Tripoli University, Tripoli, Libya

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• Document Type: article