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Embeddings among $\omega_1$-like models of set theory

This is a talk at the CUNY Set Theory Seminar, October 4, 2013. Recently Hamkins proved some remarkable theorems about the existence of embeddings between countable models of set theory [1]. We are...

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Incomparable $\omega_1$-like models of set theory

G. Fuchs, V. Gitman, and J. D. Hamkins, “Incomparable $\omega_1$-like models of set theory.” (In preparation)   Citation @ARTICLE{fuchsgitmanhamkins:omega1models, AUTHOR= {Gunter Fuchs and Victoria...

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Incomparable $\omega_1$-like models of set theory

This is a talk at the Connecticut Logic Seminar, March 31, 2014. $ \newcommand{\PA}{\rm{PA}} \newcommand{\ZFC}{\rm{ZFC}} $ To paraphrase Roman Kossak, $\omega_1$-like models bridge the gap between...

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