Forking and invariant measures in NIP theories

Published 20 Jul 2023 in math.LO | (2307.11037v1)

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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