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arXiv · 1510.02937

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

Sy David Friedman·Mohammad Golshani
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Abstract

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 $V_2$.

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Sy David Friedman, Mohammad Golshani. 2015-10-10. Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH. https://arxiv.org/abs/1510.02937

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