Homogeneous changes in cofinalities with applications to HOD

DOI10.1142/S0219061317500076zbMath1423.03192OpenAlexW2738814765MaRDI QIDQ4596663

Omer Ben-Neria, Spencer Unger

Publication date: 4 December 2017

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

Full work available at URL: https://doi.org/10.1142/s0219061317500076

zbMATH Keywords

homogeneitylarge cardinalsHODchanging cofinality

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

Related Items (6)

On -Strongly Measurable Cardinals ⋮ SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD ⋮ A Mathias criterion for the Magidor iteration of Prikry forcings ⋮ On the powersets of singular cardinals in HOD ⋮ Non-stationary support iterations of Prikry forcings and restrictions of ultrapower embeddings to the ground model ⋮ ON RESTRICTIONS OF ULTRAFILTERS FROM GENERIC EXTENSIONS TO GROUND MODELS

Cites Work

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• Supercompact extender based Magidor-Radin forcing
• Homogeneous iteration and measure one covering relative to HOD
• Changing cofinalities and the nonstationary ideal
• Prikry-Type Forcings
• SUITABLE EXTENDER MODELS I
• Forcing closed unbounded sets
• Changing cofinality of cardinals
• On closed unbounded sets consisting of former regulars
• SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD
• Collapsing the cardinals of HOD

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