On Decompositions of Continuity and Complete Continuity in GTS with Hereditary Classes

Abstract

We define and study \(\delta \beta_\mathcal{H}\)-open sets, \(\delta \alpha\)-\(\mathcal{H}\)-open sets and semi\(^\star\) \(\mathcal{H}\)-open sets. Using these sets, we obtain decompositions of continuity and complete continuity in GTS with hereditary classes.