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arXiv · 1210.2008

Quasiminimal structures and excellence

Martin Bays·Bradd Hart·Tapani Hyttinen·Meeri Kesälä·Jonathan Kirby
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Abstract

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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Martin Bays, Bradd Hart, Tapani Hyttinen, Meeri Kesälä, Jonathan Kirby. 2013-10-27. Quasiminimal structures and excellence. https://doi.org/10.1112/blms%2Fbdt076

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