On r-Compactness in Topological and Bitopological Spaces

Author:

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

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

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 10 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

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3