## On quasiminimal excellent classes.(English)Zbl 1192.03006

Summary: A careful exposition of Zilber’s quasiminimal excellent classes [B. Zilber, Contemp. Math. 380, 297–306 (2005; Zbl 1096.03037)] and their categoricity is given, leading to two new results: the $$L_{\omega_1,\omega} (Q)$$-definability assumption may be dropped, and each class is determined by its model of dimension $$\aleph_0$$.

### MSC:

 03C35 Categoricity and completeness of theories

### Keywords:

quasiminimal excellent classes; categoricity

Zbl 1096.03037
Full Text:

### References:

 [1] DOI: 10.1090/conm/380/07118 [2] Categoricity 50 (2009) · Zbl 1183.03002 [3] Model theory: An introduction 217 (2002)
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