“School of Mathematics”
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| Paper IPM / M / 16072 |
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| Abstract: | |
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Starting from large cardinals we construct a model of ZFC in which the GCH fails
everywhere, but such that GCH holds in its HOD. The result answers a question of Sy Friedman. Also, relative to the existence of
large cardinals, we produce a model of ZFC+GCH such that GCH fails everywhere in its HOD.
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