40 citations · 399 across the 37 of their papers we have counts for
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Infinitary stability theory
Sebastien Vasey
We introduce a new device in the study of abstract elementary classes (AECs): Galois Morleyization, which consists in expanding the models of the class with a relation for every Ga…
Tameness and frames revisited
Will Boney, Sebastien Vasey
We study the problem of extending an abstract independence notion for types of singletons (what Shelah calls a good frame) to longer types. Working in the framework of tame abstrac…
Forking and superstability in tame AECs
Sebastien Vasey
We prove that any tame abstract elementary class categorical in a suitable cardinal has an eventually global good frame: a forking-like notion defined on all types of single elemen…
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…
Indiscernible extraction and Morley sequences
Sebastien Vasey
We present a new proof of the existence of Morley sequences in simple theories. We avoid using the Erdős-Rado theorem and instead use only Ramsey's theorem and compactness. The pro…