Journal of Symbolic Logic

On quasiminimal excellent classes

Jonathan Kirby

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A careful exposition of Zilber's quasiminimal excellent classes and their categoricity is given, leading to two new results: the Lω1(Q)-definability assumption may be dropped, and each class is determined by its model of dimension ℵ0.

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J. Symbolic Logic Volume 75, Issue 2 (2010), 551-564.

First available in Project Euclid: 18 March 2010

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Kirby, Jonathan. On quasiminimal excellent classes. J. Symbolic Logic 75 (2010), no. 2, 551--564. doi:10.2178/jsl/1268917494.

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