English

No cardinal correct inner model elementarily embeds into the universe

Logic 2024-11-05 v1

Abstract

An elementary embedding j:MNj:M\rightarrow N between two inner models of ZFC is cardinal preserving if MM and NN correctly compute the class of cardinals. We look at the case N=VN=V and show that there is no nontrivial cardinal preserving elementary embedding from MM into VV, answering a question of Caicedo.

Cite

@article{arxiv.2411.01046,
  title  = {No cardinal correct inner model elementarily embeds into the universe},
  author = {Gabriel Goldberg and Sebastiano Thei},
  journal= {arXiv preprint arXiv:2411.01046},
  year   = {2024}
}
R2 v1 2026-06-28T19:45:07.034Z