# Rank-initial embeddings of non-standard models of set theory

@article{Gorbow2020RankinitialEO,
title={Rank-initial embeddings of non-standard models of set theory},
author={Paul K. Gorbow},
journal={Arch. Math. Log.},
year={2020},
volume={59},
pages={517-563}
}
• Paul K. Gorbow
• Published 2020
• Mathematics, Computer Science
• Arch. Math. Log.
A theoretical development is carried to establish fundamental results about rank-initial embeddings and automorphisms of countable non-standard models of set theory, with a keen eye for their sets of fixed points. These results are then combined into a “geometric technique” used to prove several results about countable non-standard models of set theory. In particular, back-and-forth constructions are carried out to establish various generalizations and refinements of Friedman’s theorem on the… Expand
3 Citations

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