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Lovely pairs of models: the non first order case
Published online by Cambridge University Press: 12 March 2014
Abstract.
We prove that for every simple theory T (or even simple thick compact abstract theory) there is a (unique) compact abstract theory whose saturated models are the lovely pairs of T. Independence-theoretic results that were proved in [5] when is a first order theory are proved for the general case: in particular is simple and we characterise independence.
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- Copyright © Association for Symbolic Logic 2004
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