Around Independence and Domination in Metric Abstract Elementary Classes, under Uniqueness of Limit Models
Logic
2013-06-25 v1
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.
Keywords
Cite
@article{arxiv.1306.5345,
title = {Around Independence and Domination in Metric Abstract Elementary Classes, under Uniqueness of Limit Models},
author = {Andrés Villaveces and Pedro Zambrano},
journal= {arXiv preprint arXiv:1306.5345},
year = {2013}
}
Comments
29 pages, 10 figures