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This paper first introduces hΓ-open sets by utilizing the local closure function in an ideal topological space. Afterward, it researches the relation between hΓ-open sets and h^-open sets. Then, it concludes that hΓ-open sets coincide with h^-open sets. Therefore, the present paper obtains that hΓ-open sets have the properties which are satisfied by h^-open sets. Additionally, it defines the notion of the h^-kernel of a set via hI-open sets and investigates some of its basic properties.
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Yıldırım et al. (2025) studied this question.
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