Productively Lindel\"of spaces and the covering property of Hurewicz

TL;DR

This paper demonstrates that under specific set-theoretic assumptions, productively Lindel"of spaces possess the Hurewicz covering property, advancing previous research in the area.

Contribution

It establishes a new link between productively Lindel"of spaces and the Hurewicz property under set-theoretic assumptions, improving earlier results.

Findings

Productively Lindel"of spaces have the Hurewicz property under certain assumptions

Improves upon earlier results by Aurichi and Tall

Provides new conditions linking topological and set-theoretic properties

Abstract

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