• Corpus ID: 237347066

Mutually embeddable models of ZFC

@inproceedings{Eskew2021MutuallyEM,
  title={Mutually embeddable models of ZFC},
  author={Monroe Eskew and Sy-David Friedman and Yair Hayut and Farmer Schlutzenberg},
  year={2021}
}
We investigate systems of transitive models of ZFC which are elementarily embeddable into each other and the influence of definability properties on such systems. One of Ken Kunen’s best-known and most striking results is that there is no elementary embedding of the universe of sets into itself other than the identity. Kunen’s result is best understood in a theory that includes proper classes as genuine objects, such as von Neumann-Gödel-Bernays set theory (NBG), which we take in this article… 

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