English

On the Consistency Strength of MM($\omega_1$)

Logic 2023-10-31 v2

Abstract

We prove that the consistency strength of Martin's Maximum restricted to partial orders of cardinality ω1\omega_1 follows from the consistency of ZFC.

Keywords

Cite

@article{arxiv.2307.06494,
  title  = {On the Consistency Strength of MM($\omega_1$)},
  author = {Natasha Dobrinen and John Krueger and Pedro Marun and Miguel Angel Mota and Jindrich Zapletal},
  journal= {arXiv preprint arXiv:2307.06494},
  year   = {2023}
}