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» Uncountable categoricity of local abstract elementary classe...
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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
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
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
JSYML
2008
95views more  JSYML 2008»
13 years 11 months ago
Examples of non-locality
free but not Whitehead Abelian groups to construct Abstract Elementary Classes (AEC) which satisfy the amalgamation property but fail various conditions on the locality of Galois-...
John T. Baldwin, Saharon Shelah