Some characterizations of ideal variants of Hurewicz type covering properties

Abstract

In this paper, we continue to investigate topological properties of $\mathcal{I}H$ and its two star versions namely $SS\mathcal{I}H$ and $S\mathcal{I}H$. We characterized $\mathcal{I}$-Hurewicz property by $\mathcal{I}$-Hurewicz Basis property and $\mathcal{I}$-Hurewicz measure zero property for metrizable spaces. We also characterized $\mathcal{I}$-Hurewicz property, star-$\mathcal{I}$-Hurewicz property and strongly star-$\mathcal{I}$-Hurewicz property using selection principles.