WEAK OPEN SETS ON SIMPLE EXTENSION IDEAL TOPOLOGICAL SPACE

Authors

  • Wadei AL-Omeri Universiti Kebangsaan Malaysia - School of Mathematical Sciences
  • Mohd. Salmi Md. Noorani Universiti Kebangsaan Malaysia - School of Mathematical Sciences
  • Ahmad AL-Omari Al AL-Bayat University - Department of Mathematics

Keywords:

ideal topological space, e-open, e-\(\mathcal{I}\)-open sets, simple extension to topology, e-\(\mathcal{I}^{+}\)-open

Abstract

In this paper we intend to introduce a new class of sets known as e-\(\mathcal{I}\)+-open sets, defined in the light of simple extension topology and ideal topology.  This set is investigated and found to be a weaker form of e-\(\mathcal{I}\)-open sets.  We have also generalized this concept and studied its properties.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

AL-Omeri, W., Noorani, M. S. M., & AL-Omari, A. (2014). WEAK OPEN SETS ON SIMPLE EXTENSION IDEAL TOPOLOGICAL SPACE. Italian Journal of Pure and Applied Mathematics, 33, 333–344. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6283

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Wadei AL-Omeri, Mohd. Salmi Md. Noorani, Ahmad AL-Omari

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)