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

Year 2023, Volume: 15 Issue: 1, 27 - 34, 30.06.2023

Ayşe Nur Tunç Sena Özen Yıldırım

https://doi.org/10.47000/tjmcs.1123430

Cited By: 1

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

Supporting Institution

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Project Number

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Thanks

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