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arXiv · 2307.11037

Forking and invariant measures in NIP theories

Anand Pillay·Atticus Stonestrom
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Abstract

We give an example of an NIP theory $T$ in which there is a formula that does not fork over $\varnothing$ but has measure $0$ under any global $\varnothing$-invariant Keisler measure, and we show that this cannot occur if $T$ is also first-order amenable.

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Anand Pillay, Atticus Stonestrom. 2023-07-20. Forking and invariant measures in NIP theories. https://arxiv.org/abs/2307.11037

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