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APAL
2006
78views more  APAL 2006»
13 years 11 months ago
Categoricity in abstract elementary classes with no maximal models
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...
Monica Van Dieren
APAL
2006
66views more  APAL 2006»
13 years 11 months ago
Uncountable categoricity of local abstract elementary classes with amalgamation
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...
John T. Baldwin, Olivier Lessmann
APAL
1999
68views more  APAL 1999»
13 years 10 months ago
Toward Categoricity for Classes with no Maximal Models
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...
Saharon Shelah, Andrés Villaveces
JSYML
2006
61views more  JSYML 2006»
13 years 10 months ago
Shelah's categoricity conjecture from a successor for tame abstract elementary classes
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
Rami P. Grossberg, Monica Van Dieren
BSL
2004
110views more  BSL 2004»
13 years 10 months ago
Notes on quasiminimality and excellence
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...
John T. Baldwin