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Maximal models up to the first measurable in ZFC

Logic 2021-11-03 v1

Abstract

Theorem: There is a {\em complete sentence} ϕ\phi of Lω1,ωL_{\omega_1,\omega} such that ϕ\phi has maximal models in a set of cardinals λ\lambda that is cofinal in the first measurable μ\mu while ϕ\phi has no maximal models in any χμ\chi \geq \mu.

Keywords

Cite

@article{arxiv.2111.01709,
  title  = {Maximal models up to the first measurable in ZFC},
  author = {John T. Baldwin and Saharon Shelah},
  journal= {arXiv preprint arXiv:2111.01709},
  year   = {2021}
}

Comments

27 pages

R2 v1 2026-06-24T07:22:57.186Z