Forcing when there are large cardinals: An introduction
Sy-David Friedman (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Forcings which preserve large cardinals”
Forcing when there are large cardinals: An introduction
A generalized version of the singular cardinals problem
Arthur Apter (1984)
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Relative consistency results via strong compactness
Arthur Apter, James Henle (1991)
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Changing cofinality of cardinals
Menachem Magidor (1978)
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Making the hugeness of ϰ resurrectable after ϰ-directed closed forcing
Julius Barbanel (1991)
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On weak cardinal powers in generic extensions
F. Drake (1970)
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On Helling cardinals
A. Wojciechowska (1972)
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Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
Sy-David Friedman, Mohammad Golshani (2013)
Fundamenta Mathematicae
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Starting from large cardinals we construct a pair V₁⊆ V₂ of models of ZFC with the same cardinals and cofinalities such that GCH holds in V₁ and fails everywhere in V₂.
On iterated forcing for successors of regular cardinals
Todd Eisworth (2003)
Fundamenta Mathematicae
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We investigate the problem of when ≤λ-support iterations of < λ-complete notions of forcing preserve λ⁺. We isolate a property- properness over diamonds-that implies λ⁺ is preserved and show that this property is preserved by λ-support iterations. Our condition is a relative of that presented by Rosłanowski and Shelah in [2]; it is not clear if the two conditions are equivalent. We close with an application of our technology by presenting a consistency result on uniformizing colorings...