Title
Covering properties of (omega )-mad families
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 $$\mathfrak b=\mathfrak c$$ is consistent with the negation of this statement as witnessed by the Laver model for the consistency of Borel’s conjecture.
Year
DOI
Venue
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 Aurichi100.34
Lyubomyr Zdomskyy2236.72