Submission date: 3 September 2013.

Abstract:

This is a short announcement and summary of the results of arxiv:1111.7057, arxiv.org:1111.4405, and Appendix B to arxiv:1208.1945. In particular, we emphasize the exposition of the ideas related to model theory and motivic integration, and simplify the definitions, to make these results easily accessible to non-model theorists.

Mathematics Subject Classification:

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Full text arXiv 1309.0594: pdf, ps.