Identity crises and strong compactness
Apter, Arthur W.; Cummings, James
2001-01-01 00:00:00
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.pngArchive for Mathematical LogicSpringer Journalshttp://www.deepdyve.com/lp/springer-journals/identity-crises-and-strong-compactness-yUkiXurmfh
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 Logic
– Springer Journals
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