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Products of hurewicz spaces in the Laver model
Bulletin of Symbolic Logic 23 (3):324-333 (2017)
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.Other Versions
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Citations of this work
Covering properties of $$omega $$ω -mad families.Leandro Aurichi & Lyubomyr Zdomskyy - 2020 - Archive for Mathematical Logic 59 (3-4):445-452.
M-separable spaces of functions are productive in the Miller model.Dušan Repovš & Lyubomyr Zdomskyy - 2020 - Annals of Pure and Applied Logic 171 (7):102806.
References found in this work
There may be simple Pℵ1 and Pℵ2-points and the Rudin-Keisler ordering may be downward directed.Andreas Blass & Saharon Shelah - 1987 - Annals of Pure and Applied Logic 33 (C):213-243.
Mathias forcing and combinatorial covering properties of filters.David Chodounský, Dušan Repovš & Lyubomyr Zdomskyy - 2015 - Journal of Symbolic Logic 80 (4):1398-1410.
Set Theory: On the Structure of the Real Line.T. Bartoszyński & H. Judah - 1999 - Studia Logica 62 (3):444-445.
Selective covering properties of product spaces.Arnold W. Miller, Boaz Tsaban & Lyubomyr Zdomskyy - 2014 - Annals of Pure and Applied Logic 165 (5):1034-1057.
On some questions about selective separability.Liljana Babinkostova - 2009 - Mathematical Logic Quarterly 55 (5):539-541.
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