Mutually embeddable models of ZFC

Monroe Eskew*, Sy David Friedman, Yair Hayut, Farmer Schlutzenberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate systems of transitive models of ZFC which are elementarily embeddable into each other and the influence of definability properties on such systems.

Original languageAmerican English
Article number103325
Pages (from-to)1-16
Number of pages16
JournalAnnals of Pure and Applied Logic
Issue numberIssue 1, Part B
StateAccepted/In press - 2023

Bibliographical note

Funding Information:
The third author's research was partially supported by the FWF Lise Meitner Grant ( 2650-N35 ).

Funding Information:
The fourth author was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC 2044–390685587 , Mathematics Münster: Dynamics–Geometry–Structure.

Funding Information:
The first two authors would like to acknowledge the support of the Austrian Science Fund (FWF) through Project P28420 .

Publisher Copyright:
© 2023 The Authors


  • Elementary embeddings
  • Sharps
  • Ultrapowers


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