Weaker forms of the Menger property in Bitopological spaces

Abstract

In this paper we continue previous investigations on the weaker forms of the Menger property in bitopological spaces. We introduce weakly Menger property and study some topological properties of almost and weakly Menger bitopological spaces. We also consider the almost Hurewicz spaces in a bitopological context.

Mathematics Subject Classication (2010): 54D20, 54E55.

Key words: Menger property, almost Menger property, weakly Menger property, bitopological
space, Hurewicz space.