Abstract
Abstract The aim of this paper is to introduce and study the notions of A*I-sets, CI-sets and CI-sets in ideal topological spaces. Properties of A*I-sets, CI-sets and C*I-sets are investigated. Moreover, decompositions of continuous functions and decompositions of A*I-continuous functions via A*I-sets, CI -sets and C*I-sets in ideal topological spaces areestablished.
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