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arXiv · 0902.0119

Lovely pairs of models: the non first order case

Itaï Ben Yaacov
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Abstract

We prove that for every simple theory $T$ (or even simple thick compact abstract theory) there is a (unique) compact abstract theory $T^\fP$ whose saturated models are the lovely pairs of $T$. Independence-theoretic results that were proved in \cite{ppv:pairs} when $T^\fP$ is a first order theory are proved for the general case: in particular $T^\fP$ is simple and we characterise independence.

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Itaï Ben Yaacov. 2009-02-01. Lovely pairs of models: the non first order case. https://arxiv.org/abs/0902.0119

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