Investigations on weak versions of the Alster property in bispaces and selection principles

Abstract

We investigate the relationships among the weaker forms of the properties ``Menger'', ``Alster'' and ``Lindel\"{o}f'' in bitopological spaces. We give some counterexamples to show the differences between these properties. Further we introduce the weak versions of the Alster property in terms of selection principles and obtain some of their topological properties.