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Around independence and domination in metric abstract elementary classes: assuming uniqueness of limit models
Author(s) -
Villaveces Andrés,
Zambrano Pedro
Publication year - 2014
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201300059
Subject(s) - mathematics , uniqueness , limit (mathematics) , independence (probability theory) , metric (unit) , orthogonality , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , statistics , operations management , geometry , economics
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.