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Covering properties of omega-mad families

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Autor(es):
Aurichi, Leandro ; Zdomskyy, Lyubomyr
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: ARCHIVE FOR MATHEMATICAL LOGIC; v. 59, n. 3-4, p. 8-pg., 2019-11-08.
Resumo

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)

Processo FAPESP: 17/09252-3 - Combinatória infinita e hiperespaços em topologia geral
Beneficiário:Leandro Fiorini Aurichi
Modalidade de apoio: Auxílio à Pesquisa - Regular