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

Notre Dame Journal of Formal Logic 48 (1):133-141 (2007)
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
Keywords Borel reducible   omega-stable   decomposition tree
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