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Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH

Volume 223 / 2013

Sy-David Friedman, Mohammad Golshani Fundamenta Mathematicae 223 (2013), 171-193 MSC: 03E35, 03E55. DOI: 10.4064/fm223-2-3


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 $V_2$.


  • Sy-David FriedmanKurt Gödel Research Center
    for Mathematical Logic
    University of Vienna
    Wien, Austria
  • Mohammad GolshaniSchool of Mathematics
    Institute for Research
    in Fundamental Sciences (IPM)
    P.O. Box 19395-5746, Tehran, Iran

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