On the non-existence of mad families

DOI10.1007/s00153-018-0640-5zbMath1477.03211OpenAlexW2884304506MaRDI QIDQ1734259

Haim Horowitz, Saharon Shelah

Publication date: 27 March 2019

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-018-0640-5

zbMATH Keywords

forcingamalgamationinaccessible cardinalsmad familiesBorel graphs

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Axiom of choice and related propositions (03E25)

Related Items (3)

-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders ⋮ The structure of \(\kappa\)-maximal cofinitary groups ⋮ On the existence of almost disjoint and MAD families without $\mathsf {AC}$

Cites Work

• Can you take Solovay's inaccessible away?
• Infinite combinatorics and definability
• Borel chromatic numbers
• Definability and almost disjoint families
• Sweet \& sour and other flavours of ccc forcing notions
• A model of set-theory in which every set of reals is Lebesgue measurable
• Mathias and set theory
• Happy families

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