A note on generically stable measures and fsg groups
Abstract
We prove that if μ is a generically stable stable measure in a first order theory with NIP and mu(φ(x,b)) = 0 for all b, then μ(n)(∃ y(φ(x1,y) ... φ(xn,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 .
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