A generalized version of the singular cardinals problem
Arthur Apter (1984)
Fundamenta Mathematicae
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Displaying similar documents to “Collectionwise Hausdorffness at limit cardinals”
A generalized version of the singular cardinals problem
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Cofinal families in certain function spaces
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Singular Failures of GCH and Level by Level Equivalence
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.