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Identity crises and strong compactness

Identity crises and strong compactness From a proper class of supercompact cardinals, we force and obtain a model in which the proper classes of strongly compact and strong cardinals precisely coincide. In this model, it is the case that no strongly compact cardinal $\kappa$ is $2^\kappa = \kappa^+$ supercompact. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Identity crises and strong compactness

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Publisher
Springer Journals
Copyright
Copyright © 2001 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s001530050172
Publisher site
See Article on Publisher Site

Abstract

From a proper class of supercompact cardinals, we force and obtain a model in which the proper classes of strongly compact and strong cardinals precisely coincide. In this model, it is the case that no strongly compact cardinal $\kappa$ is $2^\kappa = \kappa^+$ supercompact.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Jan 1, 2001

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