Cardinal invariants and the collapse of the continuum by Sacks forcing

DOI10.2178/JSL/1208359068zbMath1156.03048OpenAlexW2099488417MaRDI QIDQ3503763

Miroslav Repický

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.2178/jsl/1208359068

zbMATH Keywords

cardinal invariantshereditary familiesSacks forcingfinite-to-one functionseventually narrow sequences

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (3)

P-like properties of meager ideals and cardinal invariants ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ Rosenthal families, filters, and semifilters

Cites Work

• Sacks forcing, Laver forcing, and Martin's axiom
• More forcing notions imply diamond
• Iterated perfect-set forcing

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