“School of Mathematics”
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| Paper IPM / M / 16087 | ||||||||||||||||||
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Assuming that GCH holds and κ is κ+3-supercompact, we construct a generic extension
W of V in which κ remains strongly inaccessible and (α+)HOD < α+ for every infinite
cardinal α < κ. In particular the rank-initial segment Wκ is a model of ZFC in which
(α+)HOD < α+ for every infinite cardinal α.
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