On B-open sets

Abstract

The aim of this paper is to define and study B-open sets and related properties. A B-open set is, roughly speaking, a generalization of a b-open set, which is in turn a generalization of a pre-open set and a semi-open set. Using B-open sets, we introduce a number of concepts such as B-dense, B-Frechet, contra-B-closed graph and contra-B-continuity. Also, we define a bi-operator topological space (X,τ,T1,T2) which involves two operators T1 and T2, which are used to define B-open sets.