Quasiminimal structures and excellence
arXiv:1210.2008 · doi:10.1112/blms/bdt076
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.
Detail added to proof of 5.2; publication info added