A model with no strongly separable almost disjoint families

DOI10.1007/S11856-011-0173-7zbMath1270.03080OpenAlexW2039504883MaRDI QIDQ1760345

Dilip Raghavan

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0173-7

zbMATH Keywords

Calkin algebraalmost disjoint familycompletely separable familyFréchet groupmodels of ZFCstrongly separable family

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (7)

Indestructibility of ideals and MAD families ⋮ Mathias-Prikry and Laver-Prikry type forcing ⋮ On Pospíšil ideals ⋮ There is a +-Ramsey \(\mathsf{MAD}\) family ⋮ Malykhin's problem ⋮ The ultrafilter and almost disjointness numbers ⋮ MAD families and strategically bounding forcings

Cites Work

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• Fréchet--Urysohn for finite sets
• Separability properties of almost-disjoint families of sets
• Masas in the Calkin algebra without the Continuum Hypothesis
• Countable Fréchet Boolean groups: An independence result

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