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Tallness and level by level equivalence and inequivalence

✍ Scribed by Arthur W. Apter

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
131 KB
Volume
56
Category
Article
ISSN
0044-3050

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✦ Synopsis

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)

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