English

On Quasiminimal Excellent Classes

Logic 2011-08-05 v3

Abstract

A careful exposition of Zilber's quasiminimal excellent classes and their categoricity is given, leading to two new results: the L_w1,w(Q)-definability assumption may be dropped, and each class is determined by its model of dimension aleph_0.

Keywords

Cite

@article{arxiv.0707.4496,
  title  = {On Quasiminimal Excellent Classes},
  author = {Jonathan Kirby},
  journal= {arXiv preprint arXiv:0707.4496},
  year   = {2011}
}

Comments

16 pages. v3: correction to the statement of corollary 5.7

R2 v1 2026-06-21T09:03:12.207Z