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Merimovich, Carmi

A power function with a fixed finite gap everywhere. (English) Zbl 1153.03036

J. Symb. Log. 72, No. 2, 361-417 (2007).
Let \(1 < n < \omega\). Assuming the existence of a cardinal \(\kappa\) that is \(\kappa^{+(n+1)}\)-strong, the author constructs a model of ZFC in which \(2^\lambda = \lambda^{+n}\) for every infinite cardinal \(\lambda\). He remarks that the forcing used (revised extender based Radin forcing) “should be viewed as a template enabling the construction of models with many different power functions”.
Reviewer: Pierre Matet (Caen)

Cited in 1 Review
Cited in 8 Documents

MSC:

03E35 Consistency and independence results
03E55 Large cardinals

Keywords:

forcing; modified Radin forcing; extender based forcing; generalized continuum hypothesis; singular cardinal hypothesis
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\textit{C. Merimovich}, J. Symb. Log. 72, No. 2, 361--417 (2007; Zbl 1153.03036)
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