Continuous Maps in Ideal Topological Spaces

An ideal topological space is a triplet (X, τ, I), where X is a nonempty set, τ is a topology on X, and I is an ideal of subsets of X. A subset A of a topological space (X, τ, I) is called a b*I closed set if I_int(I_cl(A)) ⊆U, whenever A ⊆ U and U is b-open in ideal. In this paper, a new class of continuous functions called b*- continuous maps in Ideal topological spaces are introduced and studied. Also, some of their properties have been investigated with other closed maps in Ideal topological spaces.