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Retro-stability: The fine structure of classifiable theories

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Retro-stability: The fine structure of classifiable theories
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22
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We give (equivalent) friendlier definitions of classifiable theories strengthen known results about how an independent triple of models can be completed to a model. As well, we characterize when the isomorphism type of a weight one extension N/M is uniquely determined by the non-orthogonality class of the relevant regular type and discuss when N is prime over Ma for some finite a∈N. This is part of an ongoing project with Elisabeth Bouscaren, Bradd Hart, and Udi Hrushovski.