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Preprint Number 916
916. Monica M. VanDieren and Sebastien Vasey
On the structure of categorical abstract elementary classes with amalgamation
Submission date: 4 September 2015.
For K an abstract elementary class with amalgamation and no maximal models, we show that categoricity in a high-enough cardinal implies structural properties such as the uniqueness of limit models and the existence of good frames. This improves several classical results of Shelah.
Mathematics Subject Classification: 03C48 (Primary), 03C45, 03C52, 03C55 (Secondary)
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