On r-Compactness in Topological and Bitopological Spaces

Jamal Oudetallah; Rehab Alharbi; Iqbal M. Batiha

doi:10.3390/axioms12020210

On r-Compactness in Topological and Bitopological Spaces

Jamal Oudetallah
, Rehab Alharbi
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
Jazan University
Al-Zaytoonah University of Jordan

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied theoretically. As a result, several novel theorems of the r-compact space are generalized on the pairwise r-compact space. The results established in this research paper are new in the field of topology.

Original language	English
Article number	210
Journal	Axioms
Volume	12
Issue number	2
DOIs	https://doi.org/10.3390/axioms12020210
State	Published - Feb 2023

Keywords

bitopological space
pairwise compact space
pairwise extremely disconnected space
pairwise r-compact space

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10.3390/axioms12020210

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abstract = "This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied theoretically. As a result, several novel theorems of the r-compact space are generalized on the pairwise r-compact space. The results established in this research paper are new in the field of topology.",

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AB - This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied theoretically. As a result, several novel theorems of the r-compact space are generalized on the pairwise r-compact space. The results established in this research paper are new in the field of topology.

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KW - pairwise extremely disconnected space

KW - pairwise r-compact space

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On r-Compactness in Topological and Bitopological Spaces

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Keywords

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