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Paper   IPM / M / 16087
School of Mathematics
  Title:   Collapsing the cardinals of Hod
  Author(s):  Mohammad Golshani (Joint with J. Cummings and Sy. D. Friedman)
  Status:   Published
  Journal: J. Math. Log.
  Vol.:  15
  Year:  2015
  Pages:   DOI: 10.1142/S0219061315500075
  Supported by:  IPM
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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