THE TOPOLOGY OF θ_e-OPEN SETS

Abstract

. This paper aims is to introduce a new class of open set defined using e -closure operator, which we call the θ e -open set. It is worth noting that the family of all θ e -open sets forms a topology. We then investigate the relationship of this set to the other well-known concepts in topology such as the classical open, θ -open and e -open sets. We also characterize the concepts of θ e -connected space, some versions of separation axioms with respect to θ e -open sets, and θ e -continuous function from an arbitrary topological space into the product space