40 citations · 136 across the 24 of their papers we have counts for
4 papers · 1 filter
Shelah-Villaveces revisited
Will Boney, Monica M. VanDieren, Sebastien Vasey
We study uniqueness of limit models in abstract elementary classes (AECs) with no maximal models. We prove (assuming instances of diamonds) that categoricity in a cardinal of the f…
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…
Definable Coherent Ultrapowers and Elementary Extensions
Will Boney
We develop the notion of coherent ultrafilters (extenders without normality or well-foundedness). We then use definable coherent ultraproducts to characterize any extension of a mo…
Good Frames in the Hart-Shelah Example
Will Boney, Sebastien Vasey
For a fixed natural number , the Hart-Shelah example is an abstract elementary class (AEC) with amalgamation that is categorical exactly in the infinite cardinals less th…