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arXiv · 1304.7797

Definable closure in randomizations

Uri Andrews·Isaac Goldbring·H. Jerome Keisler
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Abstract

The randomization of a complete first order theory T is the complete continuous theory T^R with two sorts, a sort for random elements of models of T, and a sort for events in an underlying probability space. We give necessary and sufficient conditions for an element to be definable over a set of parameters in a model of T^R.

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Uri Andrews, Isaac Goldbring, H. Jerome Keisler. 2013-04-29. Definable closure in randomizations. https://arxiv.org/abs/1304.7797

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