A note on pairwise continuous mappings and bitopological spaces

Abstract

We shall continue the study of bitopological separation axioms that was begun by Kelly and obtained some results. Furthermore, we introduce a concept of pairwise Lindelöf bitopological spaces, namely, $p_2$-Lindelöf spaces and their properties are established. We also show that a $p_2$-Lindelöf space is not a hereditary property. Finally, we show that a $p_2$-Lindelöf space is a $p_2$-topological property.