Submission date: 28 October 2013.

Abstract:

We give a stability theoretic proof of the algebraic regularity lemma of Tao, making use of a lemma of Hrushovski. We also point out that the underlying results hold at the level of measurable theories and structures in the sense of Elwes, Macpherson and Steinhorn.

Mathematics Subject Classification: 11P70, 03C45

Keywords and phrases:

Full text arXiv 1310.7538: pdf, ps.