Relative consistency results via strong compactness
Arthur Apter, James Henle (1991)
Fundamenta Mathematicae
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Displaying similar documents to “Cardinals and iterations of HOD”
Relative consistency results via strong compactness
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F. Drake (1970)
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An ordering of normal ultrafiltres
Julius Barbanel (1985)
Fundamenta Mathematicae
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Incompactness in languages with infinitely long expressions
W. Hanf (1964)
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On Helling cardinals
A. Wojciechowska (1972)
Fundamenta Mathematicae
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Forcing when there are large cardinals: An introduction
Sy-David Friedman (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Refined Morley numbers
D. W. H. Gillam (1978)
Colloquium Mathematicae
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A generalized version of the singular cardinals problem
Arthur Apter (1984)
Fundamenta Mathematicae
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Making the hugeness of ϰ resurrectable after ϰ-directed closed forcing
Julius Barbanel (1991)
Fundamenta Mathematicae
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Hybrid Prikry forcing
Dima Sinapova (2015)
Fundamenta Mathematicae
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We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.
Forcings which preserve large cardinals
Sy-David Friedman (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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