Finding generically stable measures
نویسندگان
چکیده
منابع مشابه
Finding generically stable measures
This work builds on [6] and [7] where Keisler measures over NIP theories are studied. We discuss two constructions for obtaining generically stable measures in this context. First, we show how to symmetrize an arbitrary invariant measure to obtain a generically stable one from it. Next, we show that suitable sigma-additive probability measures give rise to generically stable Keisler measures. A...
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We prove (Proposition 2.1) that if μ is a generically stable measure in an NIP theory, and μ(φ(x, b)) = 0 for all b then for some n, μ(∃y(φ(x1, y)∧ ..∧φ(xn, y))) = 0. As a consequence we show (Proposition 3.2) that if G is a definable group with fsg in an NIP theory, and X is a definable subset of G then X is generic if and only if every translate of X does not fork over ∅, precisely as in stab...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2012
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl/1327068702