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Preprint Number 903
903. Monica M. VanDieren and Sebastien Vasey Transferring symmetry downward and applications E-mail: Submission date: 13 August 2015. Abstract: For K an abstract elementary class satisfying the amalgamation property, we prove a downward transfer of the symmetry property for splitting (previously isolated by the first author). This allows us to deduce uniqueness of limit models from categoricity in a cardinal of high-enough cofinality, improving on a 16-year-old result of Shelah:
Theorem Another application of the symmetry transfer utilizes tameness (a locality property for types) and improves on the work of Will Boney and the second author:
Theorem Mathematics Subject Classification: 03C48 (Primary), 03C45, 03C52, 03C55 (Secondary) Keywords and phrases: |

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