On Menger Spaces Via Ideals

Abstract

In this paper, we define I-Menger, I-star Menger, and I-strongly star Menger spaces using ideals, and give their relations to related spaces. We also investigate some properties of them. Finally, we show that the concepts of I-Menger, I-star Menger, and I-strongly star Menger are equivalent in the class of paracompact spaces.