Productively Lindelöf spaces and the covering property of Hurewicz

Abstract

We prove that under certain set-theoretic assumptions every productively Lindelöf space has the Hurewicz covering property, thus improving upon some earlier results of Aurichi and Tall.

Indestructibly productively Lindelöf and Menger function spaces

“…• (Repovs-Zdomskyy) If Add(M) = d, then every productively Lindelöf space has the Hurewicz property (Theorem 1.1 in [14]).…”