On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity

Abstract EN

The main goal of this paper is to study some new classes of sets and to obtain some new decompositions of continuity.

For this aim, the notions of e-open sets, DP-sets, DPE-sets, DP*-sets, DPE*-sets, e-continuous functions, DP*-continuous functions, and DPE*-continuous functions are introduced.

Properties of e-open sets, DP-sets, DPE-sets, DP*-sets, DPE*-sets and the relationships between these sets and the related concepts are investigated.

Finally, some new decompositions of continuity are obtained. 2000 Mathematics Subject Classification: 54C10, 54C08.