A power function with a fixed finite gap everywhere

@article{Merimovich2007APF,
  title={A power function with a fixed finite gap everywhere},
  author={Carmi Merimovich},
  journal={Journal of Symbolic Logic},
  year={2007},
  volume={72},
  pages={361 - 417}
}
  • C. Merimovich
  • Published 17 May 2000
  • Mathematics, Computer Science
  • Journal of Symbolic Logic
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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