Embeddings into outer models

Monroe Eskew; Sy-David Friedman

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arXiv · 1905.06062

Embeddings into outer models

Monroe Eskew·Sy-David Friedman

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Abstract

We explore the possibilities for elementary embeddings $j : M \to N$, where $M$ and $N$ are models of ZFC with the same ordinals, $M \subseteq N$, and $N$ has access to large pieces of $j$. We construct commuting systems of such maps between countable transitive models that are isomorphic to various canonical linear and partial orders, including the real line $\mathbb R$.

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BibTeX RIS

Monroe Eskew, Sy-David Friedman. 2019-05-15. Embeddings into outer models. https://arxiv.org/abs/1905.06062

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