Products of Hurewicz spaces in the Laver model

Abstract

This article is devoted to the interplay between forcing with fusion and combinatorial covering properties. We illustrate this interplay by proving that in the Laver model for the consistency of the Borel's conjecture, the product of any two metrizable spaces with the Hurewicz property has the Menger property.

arXiv comment10 pages

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Cited by in corpus (6)

• Products of Menger spaces in the Miller model
• Products of $H$-separable spaces in the Laver model
• Covering properties of $\omega$-mad families
• M-separable spaces of functions are productive in the Miller model
• On the interplay between productively Menger and productively Hurewicz spaces in models of $\mathfrak{b}=\mathfrak{d}$
• Preservation of $\gamma$-spaces and covering properties of products