Pairwise ωB-continuous functions

A subset A of a bitopological space (X,?1,?2) is said to be i j-?B-open if for every x ? A there exists an i j-B-open set U containing x such that U - A is countable. In this paper, we introduce and study a new class of functions called pairwise ?B-continuous functions by using the notion of i j-?B-open sets, and we give some characterizations of pairwise ?B-continuous functions. Also pairwise ?B-connectedness and pairwise wb-set connected functions are introduced in bitopological spaces and some of their properties are established.