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The index set of uncountably categorical theories. (English) Zbl 1294.03022
Summary: We classify the complexity of the index set of uncountably categorical theories. We show that this index set surprisingly falls at the intermediate stage of being complete for intersections of \(\Pi_2\) sets with \(\Sigma_2\) sets.
MSC:
03C35 Categoricity and completeness of theories
03C52 Properties of classes of models
03D80 Applications of computability and recursion theory
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