Bounding, splitting, and almost disjointness

DOI10.1016/j.apal.2013.09.002zbMath1405.03081arXiv1211.5170OpenAlexW2061653255MaRDI QIDQ386637

Jörg Brendle, Dilip Raghavan

Publication date: 10 December 2013

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5170

zbMATH Keywords

cardinal invariantsmaximal almost disjoint family

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Other set-theoretic hypotheses and axioms (03E65)

Related Items (10)

Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters ⋮ Open and solved problems concerning polarized partition relations ⋮ Indestructibility of ideals and MAD families ⋮ On the bounding, splitting, and distributivity numbers ⋮ Template iterations with non-definable ccc forcing notions ⋮ Partition calculus and cardinal invariants ⋮ Construction with opposition: cardinal invariants and games ⋮ The ultrafilter and almost disjointness numbers ⋮ The almost disjointness invariant for products of ideals ⋮ MAD families and strategically bounding forcings

Cites Work

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• Selctive ultrafilters and homogeneity
• Mob families and mad families
• Strong polarized relations for the continuum
• Combinatorial aspects of the splitting number
• Partition calculus and cardinal invariants
• Proper Forcing
• Adjoining dominating functions
• Comparing the closed almost disjointness and dominating numbers
• Mad Families Constructed from Perfect Almost Disjoint Families

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