40 citations · 399 across the 37 of their papers we have counts for
12 papers · 1 filter
A survey on tame abstract elementary classes
Will Boney, Sebastien Vasey
Tame abstract elementary classes are a broad nonelementary framework for model theory that encompasses several examples of interest. In recent years, progress toward developing a c…
Downward categoricity from a successor inside a good frame
Sebastien Vasey
We use orthogonality calculus to prove a downward transfer from categoricity in a successor in abstract elementary classes (AECs) that have a good frame (a forking-like notion for…
-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…
Building prime models in fully good abstract elementary classes
Sebastien Vasey
We show how to build primes models in classes of saturated models of abstract elementary classes (AECs) having a well-behaved independence relation: Let be…
Shelah's eventual categoricity conjecture in tame AECs with primes
Sebastien Vasey
A new case of Shelah's eventual categoricity conjecture is established: Let be an AEC with amalgamation. Write $H_2 := \beth_{\left(2^{\beth_{\left(2^{\text{…
On the structure of categorical abstract elementary classes with amalgamation
Monica M. VanDieren, Sebastien Vasey
For an abstract elementary class with amalgamation and no maximal models, we show that categoricity in a high-enough cardinal implies structural properties such as the uniquene…