A model for a very good scale and a bad scale

نویسنده

  • Dima Sinapova
چکیده

Given a supercompact cardinal κ and a regular cardinal λ < κ, we describe a type of forcing such that in the generic extension the cofinality of κ is λ, there is a very good scale at κ, a bad scale at κ, and SCH at κ fails. When creating our model we have great freedom in assigning the value of 2, and so we can make SCH hold or fail arbitrarily

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عنوان ژورنال:
  • J. Symb. Log.

دوره 73  شماره 

صفحات  -

تاریخ انتشار 2008