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  1. Limit models in metric abstract elementary classes: the categorical case.Andrés Villaveces & Pedro Zambrano - 2016 - Mathematical Logic Quarterly 62 (4-5):319-334.
    We study versions of limit models adapted to the context of metric abstract elementary classes. Under categoricity and superstability-like assumptions, we generalize some theorems from 7, 15-17. We prove criteria for existence and uniqueness of limit models in the metric context.
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  • Downward categoricity from a successor inside a good frame.Sebastien Vasey - 2017 - Annals of Pure and Applied Logic 168 (3):651-692.
  • Model theory of a Hilbert space expanded with an unbounded closed selfadjoint operator.Camilo Enrique Argoty Pulido - 2014 - Mathematical Logic Quarterly 60 (6):403-424.
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  • Uniqueness of limit models in classes with amalgamation.Rami Grossberg, Monica VanDieren & Andrés Villaveces - 2016 - Mathematical Logic Quarterly 62 (4-5):367-382.
    We prove the following main theorem: Let be an abstract elementary class satisfying the joint embedding and the amalgamation properties with no maximal models of cardinality μ. Let μ be a cardinal above the the Löwenheim‐Skolem number of the class. If is μ‐Galois‐stable, has no μ‐Vaughtian Pairs, does not have long splitting chains, and satisfies locality of splitting, then any two ‐limits over M, for, are isomorphic over M.
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