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JSYML
2007

A power function with a fixed finite gap everywhere

13 years 3 months ago
A power function with a fixed finite gap everywhere
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.
Carmi Merimovich
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JSYML
Authors Carmi Merimovich
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