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Categoricity from one successor cardinal in Tame Abstract Elementary Classes

Rami Grossberg·Monica VanDieren
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Abstract

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 categorical in some λ^+ >LS(K) then it is categorical in all μ\geq (λ+χ)^+. Theorem 2. If K is LS(K)-tame and is categorical both in LS(K) and in LS(K)^+ then K is categorical in all μ\geq LS(K).

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BibTeXRIS

Rami Grossberg, Monica VanDieren. 2005-09-30. Categoricity from one successor cardinal in Tame Abstract Elementary Classes. https://arxiv.org/abs/math/0510004

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