Computer Science Department, Tel-Aviv Academic College, 4 Antokolsky St., Tel-Aviv 64044, Israel, E-mail: firstname.lastname@example.org
We give an application of the extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2 κ = κ +n together with 2 λ = λ +n 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, V κ is a model of ZFC satisfying 2 λ = λ +n for all cardinals λ.
(Received May 17 2000)
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