
arXiv: 1308.1892
AbstractQuasiminimal pregeometry classes were introduced by [6] to isolate the model theoretical core of several interesting examples. He proves that a quasiminimal pregeometry class satisfying an additional axiom, called excellence, is categorical in all uncountable cardinalities. Recently, [2] showed that the excellence axiom follows from the rest of the axioms. In this paper we present a direct proof of the categoricity result without using excellence.
Properties of classes of models, quasiminimal pregeometry class, Mathematics - Logic, excellence axiom, uncountable cardinality, Categoricity and completeness of theories, partial embedding, FOS: Mathematics, Classification theory, stability, and related concepts in model theory, Logic (math.LO), categoricity
Properties of classes of models, quasiminimal pregeometry class, Mathematics - Logic, excellence axiom, uncountable cardinality, Categoricity and completeness of theories, partial embedding, FOS: Mathematics, Classification theory, stability, and related concepts in model theory, Logic (math.LO), categoricity
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