Selection principles and covering properties in bitopological spaces

Abstract

Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz, almost p-Hurewicz, star p-Hurewicz and strongly star p-Hurewicz spaces are defined and corresponding properties are investigated. Relations between some of these spaces are established.

Keywords

• bitopological space
• selection principles
• (star) p-menger bispace
• (star) p-hurewicz bispace