CATEGORICITY IN QUASIMINIMAL PREGEOMETRY CLASSES
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.
1986 ◽
Vol 44
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pp. 482-483
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1958 ◽
Vol 23
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pp. 2169-2174
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2012 ◽
Vol 112
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pp. 15-19
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2006 ◽
Vol 243
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pp. 3221-3225
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2004 ◽
Vol 5
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pp. 1013-1039
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