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  • Author or Editor: A. Açıkgöz x
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Abstract  

The concepts of I-R closed set, A I-R-set, α I M 1-set, α I M 2-set, α I N 1-set, α I N 2-set, α I N 3-set, α I N 4-set and α I N 5-set are introduced via idealization. New decompositions of some weaker forms of continuity are obtained by using these sets.

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Abstract  

We introduce the notions of δ-I- open sets and semi δ-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain decompositions of semi-I-continuous functions and α-I-continuous functions by using δ-I-open sets.

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Abstract  

We study the concepts of α-I-continuity and α-I-openness in ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate its relationship with other types of functions.

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Abstract  

The main purpose of this paper is to introduce *-operfect, τ*-clopen, α-*-closed, strongly α-*-closed and pre-*-closed sets. We compare them and obtain a diagram to show their relationships among these sets and related sets.

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