A note on tall cardinals and level by level equivalence

نویسنده

  • Arthur W. Apter
چکیده

Starting from a model V “ZFC + GCH + κ is supercompact + No cardinal is supercompact up to a measurable cardinal”, we force and construct a model V P such that V P “ZFC + κ is supercompact + No cardinal is supercompact up to a measurable cardinal + δ is measurable iff δ is tall” in which level by level equivalence between strong compactness and supercompactness holds. This extends and generalizes both [4, Theorem 1] and the results of [5].

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عنوان ژورنال:
  • Math. Log. Q.

دوره 62  شماره 

صفحات  -

تاریخ انتشار 2016