English

The sharp for the Chang model is small

Logic 2017-05-02 v1

Abstract

Woodin has shown that if there is a measurable Woodin cardinal then there is, in an appropriate sense, a sharp for the Chang model. We produce, in a weaker sense, a sharp for the Chang model using only the existence of a cardinal κ\kappa having an extender of length κ+ω1\kappa^{+\omega_1}.

Cite

@article{arxiv.1705.00208,
  title  = {The sharp for the Chang model is small},
  author = {William Mitchell},
  journal= {arXiv preprint arXiv:1705.00208},
  year   = {2017}
}

Comments

To appear in the Archive for Mathematical Logic

R2 v1 2026-06-22T19:31:55.748Z