On the non-extendibility of strongness and supercompactness through strong compactness
Arthur W. Apter
Fundamenta Mathematicae, Tome 173 (2002), p. 87-96 / Harvested from The Polish Digital Mathematics Library
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If κ is either supercompact or strong and δ < κ is α strong or α supercompact for every α < κ, then it is known δ must be (fully) strong or supercompact. We show this is not necessarily the case if κ is strongly compact.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:282607 
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Arthur W. Apter. On the non-extendibility of strongness and supercompactness through strong compactness. Fundamenta Mathematicae, Tome 173 (2002) pp. 87-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm174-1-5/