English

Prikry On Extenders, Revisited

Logic 2007-05-23 v1

Abstract

We present a modification to the Prikry on Extenders forcing notion allowing the blow up of the power set of a large cardinal, change its cofinality to omega without adding bounded subsets, working directly from arbitrary extender (e.g., n-huge extender). Using this forcing, starting from a superstrong cardinal, we construct a model in which the added Prikry sequences are a scale in the normal Prikry sequence.

Keywords

Cite

@article{arxiv.math/0305269,
  title  = {Prikry On Extenders, Revisited},
  author = {Carmi Merimovich},
  journal= {arXiv preprint arXiv:math/0305269},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-07-22T16:54:41.849Z