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}
}
  • Leandro Fiorini Aurichi, Lyubomyr Zdomskyy
  • Published in Arch. Math. Log. 2020
  • Mathematics, Computer Science
  • 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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