Indestructibility, strongness, and level by level equivalence
Arthur W. Apter
Fundamenta Mathematicae, Tome 177 (2003), p. 45-54 / Harvested from The Polish Digital Mathematics Library
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We construct a model in which there is a strong cardinal κ whose strongness is indestructible under κ-strategically closed forcing and in which level by level equivalence between strong compactness and supercompactness holds non-trivially.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:283122 
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     title = {Indestructibility, strongness, and level by level equivalence},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {45-54},
     zbl = {1020.03048},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-1-3}
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Arthur W. Apter. Indestructibility, strongness, and level by level equivalence. Fundamenta Mathematicae, Tome 177 (2003) pp. 45-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-1-3/