Forking and invariant measures in NIP theories

Read full text
Authors: Anand Pillay, Atticus Stonestrom
Cited by: 0

Abstract

We give an example of an NIP theory T in which there is a formula that does not fork over ∅ but has measure 0 under any global ∅-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.

Fields of Study & Subjects

Advanced Topology and Set Theory Limits and Structures in Graph Theory Advanced Operator Algebra Research

Publication details

Journal / source
Fundamenta Mathematicae
Publication date
11 February 2026
Language
EN