arXiv:1512.06192 Abstract | arXiv Analytics

arXiv:1512.06192 [math.LO]Abstract References Reviews Resources

HOD, V and the GCH

Published 2015-12-19Version 1

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 $HOD$.

Categories: math.LO

Keywords: large cardinals, result answers, sy friedman

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