40 citations · 107 across the 15 of their papers we have counts for
18 papers
Simple-like independence relations in abstract elementary classes
Rami Grossberg, Marcos Mazari-Armida
We introduce and study simple and supersimple independence relations in the context of AECs with a monster model. : Let be an AEC with a monster model. - If has a…
Superstability from categoricity in abstract elementary classes
Will Boney, Rami Grossberg, Monica M. VanDieren +1
Starting from an abstract elementary class with no maximal models, Shelah and Villaveces have shown (assuming instances of diamond) that categoricity implies a superstability-like…
-Abstract Elementary Classes and other generalizations
Will Boney, Rami Grossberg, Michael Lieberman +2
We introduce -Abstract Elementary Classes (-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop the…
Equivalent definitions of superstability in tame abstract elementary classes
Rami Grossberg, Sebastien Vasey
In the context of abstract elementary classes (AECs) with a monster model, several possible definitions of superstability have appeared in the literature. Among them are no long sp…
Uniqueness of Limit Models in Classes with Amalgamation
Rami Grossberg, Monica VanDieren, Andres Villaveces
We prove: Main Theorem: Let be an abstract elementary class satisfying the joint embedding and the amalgamation properties with no maximal models of cardinality .…
Canonical forking in AECs
Will Boney, Rami Grossberg, Alexei Kolesnikov +1
Boney and Grossberg [BG] proved that every nice AEC has an independence relation. We prove that this relation is unique: In any given AEC, there can exist at most one independence…