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arXiv · 2402.15709

Model theoretic events

Kyle Gannon·James E. Hanson
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Abstract

We develop a notion of sampling, called \emph{generic sampling}, for the context of global Keisler measures where the standard product is replaced by the Morley product. Choosing a point randomly in this space with respect to our distribution yields a \emph{random generic type} in infinitely many variables. We investigate several natural model-theoretic events and provide conditions under which they occur for almost all random generic types.

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Kyle Gannon, James E. Hanson. 2024-02-24. Model theoretic events. https://arxiv.org/abs/2402.15709

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