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Preprint Number 595

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595. Andrés Villaveces and Pedro Zambrano
Around Independence and Domination in Metric Abstract Elementary Classes, under Uniqueness of Limit Models
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Submission date: 22 June 2013.

Abstract:

We study notions of independence appropriate for a stability theory of metric abstract elementary classes (for short, MAECs). We build on previous notions used in the discrete case, and adapt definitions to the metric case. In particular, we study notions that behave well under superstability-like assumptions. Also, under uniqueness of limit models, we study domination, orthogonality and parallelism of Galois types in MAECs.

Mathematics Subject Classification: 03C48, 03C45

Keywords and phrases:

Full text arXiv 1306.5345: pdf, ps.


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