On the powersets of singular cardinals in HOD

نویسندگان

  • Omer Ben-Neria
  • Itay Neeman
چکیده

From the assumption that there is a measurable cardinal κ with o(κ) = κ, we produce a model in which for all x ⊆ אω, HODx does not contain the powerset of אω. We also prove that this assertion requires large cardinals.

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تاریخ انتشار 2017