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.

6 pages

References in corpus (4)

• Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
• A semifilter approach to selection principles
• On the Menger covering property and $D$-spaces
• Set-theoretic problems concerning Lindelof spaces