Geodesic
Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
Sy-David Friedman 1   ; Mohammad Golshani 2
1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Wien, Austria
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
Fundamenta Mathematicae, Tome 223 (2013) no. 2, pp. 171-193 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Starting from large cardinals we construct a pair $V_1\subseteq V_2$ of models of ZFC with the same cardinals and cofinalities such that GCH holds in $V_1$ and fails everywhere in $V_2$.
DOI : 10.4064/fm223-2-3
Keywords: starting large cardinals construct pair subseteq models zfc cardinals cofinalities gch holds fails everywhere

Sy-David Friedman  1   ; Mohammad Golshani  2

1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Wien, Austria
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran 
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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 223 (2013) no. 2, pp. 171-193. doi: 10.4064/fm223-2-3

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