Submission date: 25 February 2010.

Abstract:

We study stable like behaviour in first order theories without the independence property. We introduce generically stable measures, give characterizatiions, and show their ubiquity. We also introduce generic compact domination. We also prove the approximate definability of arbitrary Borel probability measures on definable sets in the real and p-adic fields.

Mathematics Subject Classification: 03C45

Keywords and phrases:

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