English

Hanf numbers for Extendibility and related phenomena

Logic 2021-11-03 v1

Abstract

This paper contains portions of Baldwin's talk at the Set Theory and Model Theory Conference (Institute for Research in Fundamental Sciences, Tehran, October 2015) and a detailed proof that in a suitable extension of ZFC, there is a complete sentence of Lω1,ωL_{\omega_1,\omega} that has maximal models in cardinals cofinal in the first measurable cardinal and, of course, never again.

Keywords

Cite

@article{arxiv.2111.01704,
  title  = {Hanf numbers for Extendibility and related phenomena},
  author = {John T. Baldwin and Saharon Shelah},
  journal= {arXiv preprint arXiv:2111.01704},
  year   = {2021}
}

Comments

26 pages

R2 v1 2026-06-24T07:22:56.301Z