Initiation of bitopolization of spaces an its geometrical meaning

Abstract

In this paper, an attempt has been made to clarify the geometrical meaning of bitopolization of sets as directed by the originator of this topic (J.C.Kelly). As far as we are concern, none of the researchers in the field of bitopological spaces could have touched this standpoint and, therefore, whatever the aspects have been exposed in this paper is quite new. Further, on the basis of geometrical concept, twinned pairwise open sets and pairwise open sets have expressed intuitively. Also, the diagrammatic representation of pairwise open sets have been depicted which elucidates the geometrical concept of pairwise open sets.