Quasiminimal structures and excellence
  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. 
Martin Bays, Bradd Hart, Tapani Hyttinen, Meeri Kes\"al\"a and   Jonathan Kirby
math.LO