Abstract | ||
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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. |
Year | DOI | Venue |
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2020 | 10.1007/s00153-019-00700-y | Archive for Mathematical Logic |
Keywords | DocType | Volume |
Menger space, Mad family, Cohen forcing, Laver forcing, Primary 03E35, 54D20, Secondary 03E05 | Journal | 59 |
Issue | ISSN | Citations |
3 | 0933-5846 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Leandro Aurichi | 1 | 0 | 0.34 |
Lyubomyr Zdomskyy | 2 | 23 | 6.72 |