Extender based forcings

DOI10.2307/2275399zbMath0820.03032OpenAlexW2054174194MaRDI QIDQ4302343

Menachem Magidor, M. B. Gitik

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.2307/2275399

zbMATH Keywords

forcingGCHsingular cardinal hypothesisSCHPrikry condition

Mathematics Subject Classification ID

Consistency and independence results (03E35) Ordinal and cardinal numbers (03E10)

Related Items (20)

Sigma-Prikry forcing II: Iteration Scheme ⋮ Ordinal definable subsets of singular cardinals ⋮ Blowing up the power of a singular cardinal ⋮ Another method for constructing models of not approachability and not SCH ⋮ Hybrid Prikry forcing ⋮ Scales at \({\aleph_{\omega} }\) ⋮ Sigma-Prikry forcing. III: Down to \(\aleph_{\omega}\) ⋮ Global singularization and the failure of SCH ⋮ Singular Cardinals and the PCF Theory ⋮ Blowing up the power of a singular cardinal of uncountable cofinality with collapses ⋮ Splitting families of sets in ZFC ⋮ On measurable cardinals violating the continuum hypothesis ⋮ ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS ⋮ On SCH and the approachability property ⋮ Indiscernible sequences for extenders, and the singular cardinal hypothesis ⋮ Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis ⋮ Adding a lot of Cohen reals by adding a few. I ⋮ On densities of box products ⋮ Sigma-Prikry forcing I: The Axioms ⋮ Blowing up power of a singular cardinal -- wider gaps

Cites Work

• On measurable cardinals violating the continuum hypothesis
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• The fine structure of the constructible hierarchy
• Unnamed Item

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