Definability and almost disjoint families

DOI10.1016/j.aim.2018.03.005zbMath1469.03136arXiv1503.07577OpenAlexW2962967251WikidataQ130119474 ScholiaQ130119474MaRDI QIDQ1644959

Asger Törnquist

Publication date: 22 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07577

zbMATH Keywords

definabilitymaximal almost disjoint familiesdescriptive set theoryprojective setsSolovay's model

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (11)

Maximal almost disjoint families, determinacy, and forcing ⋮ Definable MAD families and forcing axioms ⋮ HAPPY AND MAD FAMILIES INL(ℝ) ⋮ On the non-existence of \(\kappa \)-mad families ⋮ A Borel maximal eventually different family ⋮ κ‐Madness and definability ⋮ On the non-existence of mad families ⋮ The ultrafilter and almost disjointness numbers ⋮ On the existence of almost disjoint and MAD families without $\mathsf {AC}$ ⋮ MADNESS IN VECTOR SPACES ⋮ Definable towers

Cites Work

• Unnamed Item
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• Can you take Solovay's inaccessible away?
• Descriptive set theory
• Set theory. An introduction to independence proofs
• A model of set-theory in which every set of reals is Lebesgue measurable
• Happy families
• HAPPY AND MAD FAMILIES INL(ℝ)
• Set Theory
• Mad Families Constructed from Perfect Almost Disjoint Families
• Σ¹₂ and Π¹₁ Mad Families

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