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Tallness and level by level equivalence and inequivalence
Authors:
Arthur W Apter
Institution:
The CUNY Graduate Center, Mathematics, 365 Fifth Avenue, New York, New York 10016 USA
Abstract:
We construct two models containing exactly one supercompact cardinal in which all non‐supercompact measurable cardinals are strictly taller than they are either strongly compact or supercompact. In the first of these models, level by level equivalence between strong compactness and supercompactness holds. In the other, level by level inequivalence between strong compactness and supercompactness holds. Each universe has only one strongly compact cardinal and contains relatively few large cardinals (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:
Supercompact cardinal
strongly compact cardinal
superstrong cardinal
strong cardinal
tall cardinal
level by level equivalence between strong compactness and supercompactness
level by level inequivalence between strong compactness and supercompactness
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