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Mildly version of Hurewicz basis covering property and Hurewicz measure zero spaces

Mildly version of Hurewicz basis covering property and Hurewicz measure zero spaces

In this paper, we introduced the mildly version of the Hurewicz basis covering property, studied by Babinkostova, Kočinac, and Scheepers. A space $X$ is said to have mildly-Hurewicz property if for each sequence $\langle\mathcal{U}_n : n \in \omega \rangle$ of clopen covers of $X$ there is a sequence $\langle \mathcal{V}_n …