On Menger Spaces via Ideals

Abstract

In this paper, we define $\mathfrak{I}$-Menger, $\mathfrak{I}$-star Menger, and $\mathfrak{I}$-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 $\mathfrak{I}$-Menger, $\mathfrak{I}$-star Menger, and $\mathfrak{I}$-strongly star Menger are equivalent in the class of paracompact spaces.