On R-I-open sets and A∗I -sets in ideal topological spaces

Abstract

In this paper, properties of R-I-open sets and A∗I -sets in ideal topological spaces are discussed. The relationships between R-I-open sets, A∗I -sets and the related sets in ideal topological spaces are investigated. Moreover, decompositions of A∗I -continuous functions are established. Key words and phrases: R-I-open set, A∗I -set, ideal topological space, decomposition, semi∗-I-open set, β∗I -open set.