# Covering properties of ømega-mad families

@article{Aurichi2020CoveringPO, title={Covering properties of {\o}mega-mad families}, author={Leandro Fiorini Aurichi and Lyubomyr Zdomskyy}, journal={Arch. Math. Log.}, year={2020}, volume={59}, pages={445-452} }

We prove that Martin’s Axiom 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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