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Preprint Number 507

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507. Martin Bays, Bradd Hart, Tapani Hyttinen, Meeri Kesälä and Jonathan Kirby
Quasiminimal structures and excellence

Submission date: 6 October 2012.


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.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1210.2008: pdf, ps.

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