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arxiv: 0906.3050 · v1 · submitted 2009-06-17 · 🧮 math.LO

Stable theories and representation over sets

classification 🧮 math.LO
keywords theoriesclasspropertyrepresentationsetsstableconstructibilityenable
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In this paper we explore the representation property over sets. This property generalizes constructibility, however is weak enough to enable us to prove that the class of theories $T$ whose models are representable is exactly the class of stable theories. Stronger results are given for omega-stable.

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