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arXiv · 1105.2780

A note on generically stable measures and fsg groups

Ehud Hrushovski·Anand Pillay·Pierre Simon
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Abstract

We prove that if \mu is a generically stable stable measure in a first order theory with NIP and mu(\phi(x,b)) = 0 for all b, then \mu^{(n)}(\exists y(\phi(x_1,y)\wedge ... \wedge \phi(x_n,y))) = 0. We deduce that if G is an fsg grooup then a definable subset X of G is generic just if every translate of X does not fork over \emptyset.

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Ehud Hrushovski, Anand Pillay, Pierre Simon. 2011-05-13. A note on generically stable measures and fsg groups. https://doi.org/10.1215/00294527-1814705

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