Strong tree properties for two successive cardinals

نویسنده

  • Laura Fontanella
چکیده

An inaccessible cardinal κ is supercompact when (κ, λ)-ITP holds for all λ ≥ κ. We prove that if there is a model of ZFC with two supercompact cardinals, then there is a model of ZFC where simultaneously (א2, μ)-ITP and (א3, μ′)-ITP hold, for all μ ≥ א2 and μ′ ≥ א3.

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عنوان ژورنال:
  • Arch. Math. Log.

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2012