Limit models in metric abstract elementary classes: the categorical case

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Mathematical Logic Quarterly 62 (4-5):319-334 (2016)
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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 7, 15-17. We prove criteria for existence and uniqueness of limit models in the metric context.

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10.1002/malq.201300060

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Author's Profile

Andrés Villaveces
Universidad Nacional de Colombia

Citations of this work

Algebraic description of limit models in classes of abelian groups.Marcos Mazari-Armida - 2020 - Annals of Pure and Applied Logic 171 (1):102723.
Extreme types and extremal models.Seyed-Mohammad Bagheri - 2024 - Annals of Pure and Applied Logic 175 (7):103451.
Metric abstract elementary classes as accessible categories.M. Lieberman & J. Rosický - 2017 - Journal of Symbolic Logic 82 (3):1022-1040.

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References found in this work

Categoricity for abstract classes with amalgamation.Saharon Shelah - 1999 - Annals of Pure and Applied Logic 98 (1-3):261-294.
Galois-stability for Tame abstract elementary classes.Rami Grossberg & Monica Vandieren - 2006 - Journal of Mathematical Logic 6 (01):25-48.
Positive model theory and compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (01):85-118.
Toward categoricity for classes with no maximal models.Saharon Shelah & Andrés Villaveces - 1999 - Annals of Pure and Applied Logic 97 (1-3):1-25.
Categoricity in abstract elementary classes with no maximal models.Monica VanDieren - 2006 - Annals of Pure and Applied Logic 141 (1):108-147.

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