Repovš, D. D., & Zdomskyy, L. (2025). On the interplay between productively Menger and productively Hurewicz spaces in models of b=d. Topology and Its Applications, 371, Article 109372. https://doi.org/10.1016/j.topol.2025.109372
CH; Hurewicz space; Laver forcing; Menger space; Preservation by products
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Abstract:
This article is devoted to the interplay between productively Menger and productively Hurewicz subspaces of the Cantor space. In particular, we show that in the Laver model for the consistency of the Borel's conjecture these two notions coincide and characterize Hurewicz spaces. On the other hand, it is consistent with CH that there are productively Hurewicz subspaces of the Cantor space which are not productively Menger.
