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Preprint Number 854
854. Will Boney and Sebastien Vasey
Chains of saturated models in AECs
Submission date: 30 March 2015.
We study when a union of saturated models is saturated in the framework of
tame abstract elementary classes (AECs) with amalgamation. Under a natural
superstability assumption (which follows from categoricity in a high-enough
cardinal), we prove:
Our proofs use independence calculus and a generalization of averages to this non first-order context.
Mathematics Subject Classification: 03C48 (Primary), 03C45, 03C52, 03C55 (Secondary)
Keywords and phrases:
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