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

摘要

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.