Strong C-Sets and Decompositions of Continuity

Hatir et al. [5] introduced the notions of C-sets and C-continuity in topological spaces and established a decomposition of continuity. Recently, Dontchev [4] has also provided a decomposition of continuity by using the notion of strong B-sets. In this paper, we introduce strongly semi-closed sets and strongly beta-closed sets and by using these sets we define strong B-sets and strong C-sets which are situated between strong B-sets in the sense of Dontchev and C-sets. We obtain new decompositions of continuity by using strong B-sets and strong C-sets.