Relative consistency results via strong compactness
Arthur Apter, James Henle (1991)
Fundamenta Mathematicae
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Arthur Apter, James Henle (1991)
Fundamenta Mathematicae
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W. Hanf (1964)
Fundamenta Mathematicae
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Arthur W. Apter (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that certain relatively consistent structural properties of the class of supercompact cardinals are also relatively consistent with the Wholeness Axioms.
Alexander Häussler (1983)
Fundamenta Mathematicae
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Stanisław Roguski (1990)
Colloquium Mathematicae
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Arthur Apter (1984)
Fundamenta Mathematicae
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Julius Barbanel (1985)
Fundamenta Mathematicae
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Marian Srebrny (1977)
Fundamenta Mathematicae
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F. Drake (1970)
Fundamenta Mathematicae
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Arthur W. Apter (2012)
Colloquium Mathematicae
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We establish two new Easton theorems for the least supercompact cardinal that are consistent with the level by level equivalence between strong compactness and supercompactness. These theorems generalize Theorem 1 in our earlier paper [Math. Logic Quart. 51 (2005)]. In both our ground model and the model witnessing the conclusions of our present theorems, there are no restrictions on the structure of the class of supercompact cardinals.
Sy-David Friedman (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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