Forcing when there are large cardinals: An introduction
Sy-David Friedman (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Sy-David Friedman (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Arthur Apter (1984)
Fundamenta Mathematicae
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Arthur Apter, James Henle (1991)
Fundamenta Mathematicae
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Menachem Magidor (1978)
Fundamenta Mathematicae
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Julius Barbanel (1991)
Fundamenta Mathematicae
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F. Drake (1970)
Fundamenta Mathematicae
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A. Wojciechowska (1972)
Fundamenta Mathematicae
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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.
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...