Limit Models in Metric Abstract Elementary Classes: the Categorical case

Abstract

We study versions of limit models adapted to the context of *metric abstract elementary classes*. Under categoricity and superstability-like assumptions, we generalize some theorems from [GrVaVi]. We prove criteria for existence and uniqueness of limit models in the metric context.

25 pages, 5 figures

References in corpus (1)

• Categoricity in abstract elementary classes: going up inductive step

Cited by in corpus (1)

• Approximations of superstability in concrete accessible categories