Tallness and level by level equivalence and inequivalence
Copyright policy )Tallness and level by level equivalence and inequivalence
AbstractWe 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)
- City University of New York United States
- The Graduate Center, CUNY United States
level by level equivalence between strong compactness and supercompactness, Large cardinals, strongly compact cardinal, superstrong cardinal, level by level inequivalence between strong compactness and supercompactness, tall cardinal, Consistency and independence results, strong cardinal, supercompact cardinal
level by level equivalence between strong compactness and supercompactness, Large cardinals, strongly compact cardinal, superstrong cardinal, level by level inequivalence between strong compactness and supercompactness, tall cardinal, Consistency and independence results, strong cardinal, supercompact cardinal
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