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arxiv: 1210.2008 · v3 · pith:N4SLIP3Inew · submitted 2012-10-06 · 🧮 math.LO

Quasiminimal structures and excellence

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keywords excellencequasiminimalaxiomaxiomscategoricityclassesdefinitionexcellent
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We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.

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