On r-Compactness in Topological and Bitopological Spaces

被引：10

作者：

Oudetallah, Jamal ^{[1
]}

Alharbi, Rehab ^{[2
]}

Batiha, Iqbal M. ^{[3
,4
]}

机构：

[1] Irbid Natl Univ, Dept Math, Irbid 21110, Jordan

[2] Jazan Univ, Coll Sci, Dept Math, New Campus, Jazan 2097, Saudi Arabia

[3] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[4] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 346, U Arab Emirates

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

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

D O I：

10.3390/axioms12020210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：13

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