### An Old Friend Revisited: Countable Models of ω-Stable Theories

Source: Notre Dame J. Formal Logic Volume 48, Number 1 (2007), 133-141.

#### Abstract

We work in the context of ω-stable theories. We obtain a natural, algebraic equivalent of ENI-NDOP and discuss recent joint proofs with Shelah that if an ω-stable theory has either ENI-DOP or is ENI-NDOP and is ENI-deep, then the set of models of T with universe ω is Borel complete.

First Page:
Primary Subjects: 03C45
Secondary Subjects: 04A15
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1172787550
Digital Object Identifier: doi:10.1305/ndjfl/1172787550
Mathematical Reviews number (MathSciNet): MR2289902
Zentralblatt MATH identifier: 1130.03026

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