HIGHER INDEPENDENCE

DOI10.1017/jsl.2022.33OpenAlexW4293182355MaRDI QIDQ5052012

Diana Carolina Montoya, Vera Fischer

Publication date: 18 November 2022

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11623

zbMATH Keywords

forcinglarge cardinalscardinal characteristicsindependent familiesgeneralised Baire spaces

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17)

Related Items (2)

Projective well orders and coanalytic witnesses ⋮ Strong independence and its spectrum

Cites Work

• Cardinal characteristics at \(\kappa\) in a small \(\mathfrak{u}(\kappa)\) model
• CON(\(\mathfrak u>\mathfrak i\))
• Cichoń's diagram for uncountable cardinals
• The spectrum of independence
• Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\)
• Ideals of independence
• There are no P-points in Silver extensions
• Ramsey ultrafilters and the reaping number - Con(\({\mathfrak r}<{\mathfrak u}\))
• Projective well orders and coanalytic witnesses
• Combinatorial Cardinal Characteristics of the Continuum
• Combinatorial Set Theory
• Maximal σ-independent families
• Perfect-set forcing for uncountable cardinals
• Strong measure zero sets without Cohen reals
• RESTRICTED MAD FAMILIES
• Definable maximal independent families
• Strong independence and its spectrum

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