A note on generically stable measures and fsg groups

Details A note on generically stable measures and fsg groups A note on generically stable measures and fsg groups

2011-05-13

arxiv.org/abs/1105.2780v1

Mathematics

Logic

8 pages

Scientific paper

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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