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arXiv · 2001.09243

Set theoretical analogues of the Barwise-Schlipf theorem

Ali Enayat
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Abstract

We characterize nonstandard models of ZF (of arbitrary cardinality) that can be expanded to Goedel-Bernays class theory plus $\Delta^1_1$-Comprehension. We also characterize countable nonstandard models of ZFC that can be expanded to Goedel-Bernays class theory plus $\Sigma^1_1$-Choice.

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BibTeXRIS

Ali Enayat. 2020-01-25. Set theoretical analogues of the Barwise-Schlipf theorem. https://doi.org/10.1016/j.apal.2022.103158

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