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 Lindel\"{o}f bitopological spaces, namely, $p_{2}$-Lindel\"{o}f spaces and their properties are established. We also show that a $p_{2}$-Lindel\"{o}f space is not a hereditary property. Finally, we show that a $p_{2}$-Lindel\"{o}f space is a $p_{2}$-topological property.