On Helling cardinals
A. Wojciechowska (1972)
Fundamenta Mathematicae
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A. Wojciechowska (1972)
Fundamenta Mathematicae
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Alan Makler, Saharon Shelah (1988)
Fundamenta Mathematicae
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Arthur Apter (1983)
Fundamenta Mathematicae
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Arthur W. Apter (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We construct a model for the level by level equivalence between strong compactness and supercompactness in which below the least supercompact cardinal κ, there is an unbounded set of singular cardinals which witness the only failures of GCH in the universe. In this model, the structure of the class of supercompact cardinals can be arbitrary.
B. Węglorz (1973)
Fundamenta Mathematicae
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Pierre Matet (1988)
Fundamenta Mathematicae
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Arthur Apter, James Henle (1991)
Fundamenta Mathematicae
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F. Drake (1970)
Fundamenta Mathematicae
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Arthur Apter (1984)
Fundamenta Mathematicae
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Arthur W. Apter, Shoshana Friedman (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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In an attempt to extend the property of being supercompact but not HOD-supercompact to a proper class of indestructibly supercompact cardinals, a theorem is discovered about a proper class of indestructibly supercompact cardinals which reveals a surprising incompatibility. However, it is still possible to force to get a model in which the property of being supercompact but not HOD-supercompact holds for the least supercompact cardinal κ₀, κ₀ is indestructibly supercompact, the strongly...
W. Hanf (1964)
Fundamenta Mathematicae
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Julius Barbanel (1985)
Fundamenta Mathematicae
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