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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

Citations:

Zbl 1096.03037
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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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