Hanf numbers for extendibility and related phenomena

John T. Baldwin*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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,ω that has maximal models in cardinals cofinal in the first measurable cardinal and, of course, never again.

Original languageEnglish
Pages (from-to)437-464
Number of pages28
JournalArchive for Mathematical Logic
Volume61
Issue number3-4
DOIs
StatePublished - May 2022

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

  • Amalgamation
  • Hanf numbers
  • L
  • Maximal models
  • Measurable cardinals

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