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Forking and invariant measures in NIP theories

Anand Pillay, Atticus Stonestrom Fundamenta Mathematicae MSC: Primary 03C45; Secondary 37B05 DOI: 10.4064/fm250109-17-11 Opublikowany online: 11 February 2026

Streszczenie

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. We also comment on some connections with topological dynamics.

Autorzy

  • Anand PillayDepartment of Mathematics
    University of Notre Dame
    Notre Dame, IN 46556, USA
    e-mail
  • Atticus StonestromDepartment of Mathematics
    University of Notre Dame
    Notre Dame, IN 46556, USA
    e-mail

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