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math.LO2019
Selection Principles in the Laver, Miller, and Sacks models
Lyubomyr Zdomskyy
This article is devoted to the interplay between forcing with fusion and combinatorial covering properties. We discuss known instances of this interplay as well as present a new on…
math.LO2019★ 1 cited
Covering properties of -mad families
Leandro Aurichi, Lyubomyr Zdomskyy
We prove that CH implies the existence of a Cohen-indestructible mad family such that the Mathias forcing associated to its filter adds dominating reals, while $\mathfrak b=\mathfr…