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Covering properties of omega-mad families

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Author(s):
Aurichi, Leandro ; Zdomskyy, Lyubomyr
Total Authors: 2
Document type: Journal article
Source: ARCHIVE FOR MATHEMATICAL LOGIC; v. 59, n. 3-4, p. 8-pg., 2019-11-08.
Abstract

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 b=c is consistent with the negation of this statement as witnessed by the Laver model for the consistency of Borel's conjecture. (AU)

FAPESP's process: 17/09252-3 - Infinite combinatorics and hyperspaces in general topology
Grantee:Leandro Fiorini Aurichi
Support Opportunities: Regular Research Grants