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JSYML
2006

On PAC and bounded substructures of a stable structure

13 years 10 months ago
On PAC and bounded substructures of a stable structure
We introduce and study the notions of a PAC substructure of a stable structure, and a bounded substructure of an arbitrary substructure, generalizing [8]. We give precise definitions and equivalences, saying what it means for properties such as PAC to be first order, study some examples (such as differentially closed fields) in detail, relate the material to generic automorphisms, and generalize a "descent theorem" for pseudo-algebraically closed fields to the stable context. We also point out that the elementary invariants of pseudo-algebraically closed fields from [5] are also valid for pseudo-differentially closed fields.
Anand Pillay, Dominika Polkowska
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JSYML
Authors Anand Pillay, Dominika Polkowska
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