MORE PROPERTIES OF AN OPERATION ON SEMI-GENERALIZED OPEN SETS
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 spacesAbstract
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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Copyright (c) 2018 Nazihah Ahmad, Baravan A. Asaad

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)

