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arXiv · 1911.00371

Covering properties of $\omega$-mad families

Leandro Aurichi·Lyubomyr Zdomskyy
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Abstract

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 $\mathfrak b=\mathfrak c$ is consistent with the negation of this statement as witnessed by the Laver model for the consistency of Borel's conjecture.

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Leandro Aurichi, Lyubomyr Zdomskyy. 2019-11-01. Covering properties of $\omega$-mad families. https://doi.org/10.1007/s00153-019-00700-y

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