Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
Sy-David Friedman ; Mohammad Golshani
Fundamenta Mathematicae, Tome 220 (2013), p. 171-193 / Harvested from The Polish Digital Mathematics Library

Starting from large cardinals we construct a pair V₁⊆ V₂ of models of ZFC with the same cardinals and cofinalities such that GCH holds in V₁ and fails everywhere in V₂.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:283086
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     author = {Sy-David Friedman and Mohammad Golshani},
     title = {Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH},
     journal = {Fundamenta Mathematicae},
     volume = {220},
     year = {2013},
     pages = {171-193},
     zbl = {1330.03083},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm223-2-3}
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Sy-David Friedman; Mohammad Golshani. Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH. Fundamenta Mathematicae, Tome 220 (2013) pp. 171-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm223-2-3/