Forking and invariant measures in NIP theories

Anand Pillay; Atticus Stonestrom

Forking and invariant measures in NIP theories

Logic 2023-07-21 v1

Authors: Anand Pillay , Atticus Stonestrom

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.

Keywords

NIP theory forking invariant measure Keisler measure first-order amenable

Cite

@article{arxiv.2307.11037,
  title  = {Forking and invariant measures in NIP theories},
  author = {Anand Pillay and Atticus Stonestrom},
  journal= {arXiv preprint arXiv:2307.11037},
  year   = {2023}
}

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