Extender-based Radin forcing

DOI10.1090/S0002-9947-03-03202-1zbMath1024.03049arXivmath/0001121OpenAlexW2592170903MaRDI QIDQ4794601

Carmi Merimovich

Publication date: 19 February 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001121

zbMATH Keywords

singular cardinal hypothesisgeneralized continuum hypothesisextender-based forcingRadin forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50)

Related Items (16)

A general tool for consistency results related to I1 ⋮ Cofinality of the nonstationary ideal ⋮ SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD ⋮ APPLICATIONS OF PCF THEORY TO THE STUDY OF IDEALS ON ⋮ Meeting numbers and pseudopowers ⋮ Approximating diamond principles on products at an inaccessible cardinal ⋮ When \(P_\kappa(\lambda)\) (vaguely) resembles \(\kappa\) ⋮ Weak saturation of ideals on P _κ (λ) ⋮ I0 and rank-into-rank axioms ⋮ Supercompact extender based Magidor-Radin forcing ⋮ Extender-based Magidor-Radin forcing ⋮ SHORT EXTENDERS FORCINGS I ⋮ Power function on stationary classes ⋮ Game ideals ⋮ Non-saturation of the non-stationary ideal on P _κ (λ) with λ of countable cofinality ⋮ On gaps under GCH type assumptions

Cites Work

• Changing cofinalities and the nonstationary ideal
• Proper forcing
• Adding closed cofinal sequences to large cardinals
• A Model in Which GCH Holds at Successors but Fails at Limits
• Changing cofinality of cardinals
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