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  • Turkish Journal of Mathematics and Computer Science
  • Volume:15 Issue:1
  • $Psi_{Gamma}-C$ Sets in Ideal Topological Spaces

$Psi_{Gamma}-C$ Sets in Ideal Topological Spaces

Authors : Ayşe Nur TUNÇ, Sena ÖZEN YILDIRIM
Pages : 27-34
Doi:10.47000/tjmcs.1123430
View : 67 | Download : 42
Publication Date : 2023-06-30
Article Type : Research Paper
Abstract :In this paper, we present a new type of set called $\\Psi_{\\Gamma}-C$ set by using the operator $\\Psi_{\\Gamma}$. We investigate the relationships of these sets with some special sets which were studied in the literature. For instance $\\theta$-open set, semi $\\theta$-open set, $\\theta$-semiopen set, regular $\\theta$-closed set. In particular, we show that $\\Psi_{\\Gamma}-C$ set is weaker than $\\theta$-open set. Furthermore, we prove that the collection of $\\Psi_{\\Gamma}-C$ set is closed under arbitrary union. Finally, we obtain the conclusion that the collection of $\\Psi_{\\Gamma}-C$ set forms a supratopology.
Keywords : Psi Gamma C set, local closure function, theta closed set, L Gamma perfect set

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