312 citations
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Showing 2005Show all
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math.LO2005★ 1 cited
Categoricity from one successor cardinal in Tame Abstract Elementary Classes
Rami Grossberg, Monica VanDieren
Let K be an abstract elementary classes which has arbitrarily large models and satisfies the amalgamation and joint embedding properties. Theorem 1. Suppose K is χ-tame. If K is ca…
math.LO2005★ 6 cited
Uniqueness of Limit Models in Classes with Amalgamation
R. Grossberg, M. VanDieren, A. Villaveces
Let K be an abstract elementary class satisfying the joint embedding and the amalgamation properties. Let m be a cardinal above the the Löwenheim-Skolem number of the class. Suppos…