New ​Results on Difference Paracompactness in Topological Spaces

Authors

  • Rahmeh Alrababah Ajloun National Previate University, College of Science, Department of Mathematics, Jordan
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Jamal Salah
  • Reyaz Ahmad Skyline University College of Sharjah, Dept. of General Education, UAE.
  • Ali A. Atoom

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5426

Keywords:

Topological spaces, Paracompact spaces, D−paracompact spaces, countably D−paracompact spaces

Abstract

An interesting area of research in topology is D−paracompact spaces. It is a significant type of topological spaces that retain compactness while benefiting from paracompactness, which it is considerd as generalisation of compact spaces. The concept of D−paracompactness was introduced and its basic characteristics were examined by the author in \citeQ17. In this research, we introduce and improve this concept further by using a special type of covering and the difference sets(called as D−sets), which contains new and impactful properties. As a result, we obtained several new properties and results. We discuss the concept, characteristics, and theorems that related of D−paracompact space. We also studied different characterizations of D−paracompact spaces and discussed how they relate to other topological characteristics. We also give numerous instances of D−paracompact spaces along with highlighting their applicability in different topological spaces.

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Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Rahmeh Alrababah, Ala Amourah, Jamal Salah, Reyaz Ahmad, Ali A. Atoom

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How to Cite

New ​Results on Difference Paracompactness in Topological Spaces. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2990-3003. https://doi.org/10.29020/nybg.ejpam.v17i4.5426