312 citations
- Carnegie Mellon UniversityUS6 papers
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- University of Wisconsin–MilwaukeeUS2 papers
- 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
- North Carolina State UniversityUS1 paper
7 papers · 1 filter
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…
The Segal--Bargmann transform for odd-dimensional hyperbolic spaces
Brian C. Hall, Jeffrey J. Mitchell
We develop isometry and inversion formulas for the Segal--Bargmann transform on odd-dimensional hyperbolic spaces that are as parallel as possible to the dual case of odd-dimension…
Order bornological spaces and order ultrabornological spaces
Liang Hong
Ordered locally convex spaces is an important classes of spaces in the theory of ordered topological vector spaces just as locally convex spaces in the theory of topological vector…
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…