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A power function with a fixed finite gap everywhere
Published online by Cambridge University Press: 12 March 2014
Abstract
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 2κ = κ+n together with 2λ = 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, Vκ is a model of ZFC satisfying 2λ = λ+n for all cardinals λ.
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- Research Article
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- Copyright © Association for Symbolic Logic 2007
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