On r-Compactness in Topological and Bitopological Spaces-Reference-Cited by-同舟云学术

On r-Compactness in Topological and Bitopological Spaces

Published:2023-02-16 Issue:2 Volume:12 Page:210
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Oudetallah Jamal¹,Alharbi Rehab²,Batiha Iqbal M.³⁴^ORCID

Affiliation:

1. Department of Mathematics, Irbid National University, Irbid 21110, Jordan

2. Department of Mathematics, College of Science, Jazan University, New Campus, Jazan 2097, Saudi Arabia

3. Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan

4. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/210/pdf

Reference17 articles.

1. Gber nulldimensionale Punktmengen;Alexandroff;Math. Ann.,1928

2. On nearly compact spaces;Singal;Boll. Un. Mat. Ital.,1969

3. Characterizations of nearly compact spaces;Thompson;Kyungpook Math. J.,1977

4. On D-metacompactness in topological spaces;Oudetallah;J. Appl. Math. Inform.,2021

5. A fault-handling method for the Hamiltonian cycle in the hypercube topology;Hnaif;Comput. Mater. Contin.,2021

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Connection number topological aspect for backbone DNA networks;The European Physical Journal E;2023-12

2. On c-Compactness in Topological and Bitopological Spaces;Mathematics;2023-10-11

3. Nigh-Open Sets in Topological Space;International Journal of Analysis and Applications;2023-08-04