Around independence and domination in metric abstract elementary classes: assuming uniqueness of limit models

摘要

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.