MORE PROPERTIES OF AN OPERATION ON SEMI-GENERALIZED OPEN SETS

Authors

  • Nazihah Ahmad Universiti Utara Malaysia - School of Quantitative Sciences
  • Baravan A. Asaad University of Zakho - Department of Computer Science

Keywords:

sg-γ-open sets, sgγg-closed sets, sg-γ-\(T_{i}\) spaces (i ∈ {0, \(\frac{1}{2}\), 1, 2}), sg-(γ,β)-irresolute functions, sg-β-closed graphs, sg-γ\(_{0}\)-closed space, sg-γ\(^{∗}\)-regular, sg-γ\(^{∗}\)-normal spaces

Abstract

The paper continues studying properties of an operation on τsg.  The notions of sgγ-generalized closed sets and some of its properties are investigated.  It also introduces sg-γ-T\(\frac{1}{2}\) space via sgγ-generalized closed set and sg-γ-closed set.  Some basic characterization of sg-(γ,β)-irresolute functions with sg-β-closed graphs have been obtained.  It studies the concept of sg-γ0-closed space.  Finally, it gives some properties of sg-γ∗-regular and sg-γ∗-normal spaces by using sg-open and sg-closed sets.

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Published

2018-02-28

How to Cite

Ahmad, N., & Asaad, B. A. (2018). MORE PROPERTIES OF AN OPERATION ON SEMI-GENERALIZED OPEN SETS. Italian Journal of Pure and Applied Mathematics, 39, 608–627. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6877

Issue

Section

Articoli - Forum Editrice

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