CITY IN ABSTRACT ELEMENTARY CLASSES WITH NO MAXIMAL MODELS MONICA VANDIEREN Abstract. The results in this paper are in a context of abstract elementary classes identified by Shelah...
BLE CATEGORICITY OF LOCAL ABSTRACT ELEMENTARY CLASSES WITH AMALGAMATION JOHN T. BALDWIN AND OLIVIER LESSMANN We give a complete and elementary proof of the following upward categor...
We provide here the first steps toward a Classification Theory of Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categori...
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
This paper ties together much of the model theory of the last 50 years. Shelah's attempts to generalize the Morley theorem beyond first order logic led to the notion of excel...