312 citations
- Carnegie Mellon UniversityUS6 papers
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- Argonne National LaboratoryUS1 paper
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- Fermi National Accelerator LaboratoryUS1 paper
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- Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma1 paper
- National Institute for Subatomic PhysicsNL1 paper
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5 papers · 2 filters
Symmetry and the Union of Saturated Models in Superstable Abstract Elementary Classes
M. M VanDieren
Our main result (Theorem 1) suggests a possible dividing line (-superstable -symmetric) for abstract elementary classes without using extra set-theoretic assumptions or t…
A Characterization of Uniqueness of Limit Models in Categorical Abstract Elementary Classes
Monica M. VanDieren
In this paper we examine the task set forth by Shelah and Villaveces in \cite{ShVi} of proving the uniqueness of limit models of cardinality in -categorical abstract element…
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…
Symmetry in abstract elementary classes with amalgamation
Monica M. VanDieren, Sebastien Vasey
This paper is part of a program initiated by Saharon Shelah to extend the model theory of first order logic to the non-elementary setting of abstract elementary classes (AECs). An…
Superstability and Symmetry
Monica M. VanDieren
This paper continues the study of superstability in abstract elementary classes (AECs) satisfying the amalgamation property. In particular, we consider the definition of -supers…