4 papers
Disjoint non-forking amalgamation in stable AECs
Jeremy Beard
The disjoint amalgamation property (DAP), which asserts that all spans of a class of models can be amalgamated with minimal intersection, is an important property in the context of…
Long limit models are isomorphic assuming a splitting-like relation
Jeremy Beard
We prove the uniqueness of high cofinality limit models in stable abstract elementary classes (AECs) with amalgamation, assuming the existence of a rather weak independence relatio…
The spectrum of limit models in a first order setting
Jeremy Beard
Originally introduced by Kolmann and Shelah as a surrogate for saturated models, limit models have been established as natural and useful objects when studying abstract elementary…
On the spectrum of limit models
Jeremy Beard, Marcos Mazari-Armida
We study the spectrum of limit models assuming the existence of a nicely behaved independence notion. Under reasonable assumptions, we show that all `long' limit models are isomorp…