Level by Level Inequivalence, Strong Compactness, and GCH
Arthur W. Apter
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 201-209 / Harvested from The Polish Digital Mathematics Library
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We construct three models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In the first two models, below the supercompact cardinal κ, there is a non-supercompact strongly compact cardinal. In the last model, any suitably defined ground model Easton function is realized.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281131 
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Arthur W. Apter. Level by Level Inequivalence, Strong Compactness, and GCH. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 201-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-1/