On pairwise open-ness in bitopological spaces

Abstract

The chief aim of this paper is to enunciate the profound concepts of pairwise open-ness in a bitopological space. Several researchers in the field of bitopological spaces have been utilizing the name ‘pairwise open set’ but so for no one could have glanced at this point appropriately so as to the continuity, compactness, connectness as well as separation can be comprehended in the most suitable form in a bitopological space. Having been made the most appropriacy and suitability of open ness, three types of pairwise open sets for a bitopological space have been sought out in way that these can be utilized in the whole discussion of bitopolization.