A power function with a fixed finite gap everywhere

نویسنده

  • Carmi Merimovich
چکیده

We give an application of our extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2 = κ together with 2 = λ for each cardinal λ < κ, where 0 < n < ω. The cofinality of κ can be set arbitrarily or κ can remain inaccessible. When κ remains an inaccessible, Vκ is a model of ZFC satisfying 2 = λ for all cardinals λ.

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عنوان ژورنال:
  • J. Symb. Log.

دوره 72  شماره 

صفحات  -

تاریخ انتشار 2007