40 citations · 136 across the 24 of their papers we have counts for
5 papers · 1 filter
Erdős-Rado Classes
Will Boney
We amalgamate two generalizations of Ramsey's Theorem--Ramsey classes and the Erdős-Rado Theorem--into the notion of a combinatorial Erdős-Rado class. These classes are closely rel…
A Lower Bound for the Hanf Number for Joint Embedding
Will Boney, Ioannis Souldatos
In [13] the authors show that if is a strongly compact cardinal, is an Abstract Elementary Class (AEC) with , and satisfies joint embedding (amalgamation) cofi…
Which Classes of Structures Are Both Pseudo-elementary and Definable by an Infinitary Sentence?
Will Boney, Barbara F. Csima, Nancy A. Day +1
When classes of structures are not first-order definable, we might still try to find a nice description. There are two common ways for doing this. One is to expand the language, le…
Categoricity in multiuniversal classes
Nathanael Ackerman, Will Boney, Sebastien Vasey
The third author has shown that Shelah's eventual categoricity conjecture holds in universal classes: class of structures closed under isomorphisms, substructures, and unions of ch…
Structural Logic and Abstract Elementary Classes with Intersection
Will Boney, Sebastien Vasey
We give a syntactic characterization of abstract elementary classes (AECs) closed under intersections using a new logic with a quantifier for isomorphism types that we call structu…