P S -Regular Sets in Topology and Generalized Topology

Abstract EN

We define and study a new class of regular sets called P S -regular sets.

Properties of these sets are investigated for topological spaces and generalized topological spaces.

Decompositions of regular open sets and regular closed sets are provided using P S -regular sets.

Semiconnectedness is characterized by using P S -regular sets.

P S -continuity and almost P S -continuity are introduced and investigated.