Continuity via ΛsI-open sets

Abstract

Sanabria, Rosas and Carpintero [7] introduced the notions of Λ^s_I-sets and Î›^s_I-closed sets using ideals on topological spaces. Given an ideal I on a topological space (X, Ï„), a subset A ⊂ X is said to be Î›^s_I-closed if A = U∩F where U is a Î›^s_I-set and F is a Ï„*-closed set. In this work we use sets that are complements of Î›^s_I-closed sets, which are called Î›^s_I-open, to characterize new variants of continuity namely Î›^s_I-continuous, quasi- Î›^s_I-continuous y Î›^s_I-irresolute functions.