Open Access

On γ–β–I Open and Closed Sets in Ideal Topological Spaces

1 Yozgat Bozok University Graduate School of Natural and Applied Sciences, Yozgat
2 Yozgat Bozok University, Department of Mathematics, Faculty of Arts and Sciences, Yozgat

Abstract

The purpose of this paper is to extend the concept of γ–β–open sets to the framework of ideal topological spaces and to investigate the fundamental properties that arise from this generalization. Motivated by earlier studies on generalized open sets, such as γ–open, β–open, γ–semi–open, and I–open sets, we introduce and analyze γ–β–I open and γ–β–I closed sets within an ideal topological space (X, τ, I). Several characterizations, inclusion relations, and closure and interior type operators associated with these new classes of sets are obtained.

Keywords

How to Cite

ÇAKIR KARTAL , S., & AKIZ, H. F. (2025). On γ–β–I Open and Closed Sets in Ideal Topological Spaces. MAS Journal of Applied Sciences, 10(4), 826–839. https://doi.org/10.5281/zenodo.17830227

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