- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 31 | Download : 28
Publication Date : 2023-06-30
Article Type : Research Article
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