Submission date: 17 August 2015.

Abstract:

In a recent paper, Chernikov and Starchenko prove that graphs defined in distal theories have strong regularity properties, generalizing previous results about graphs defined by semi-algebraic relations. We give a shorter, purely model-theoretic proof of this fact.

Mathematics Subject Classification: 03C45, 03C98, 05C35, 05C69, 05D10, 05C25

Keywords and phrases:

Full text arXiv 1508.03955: pdf, ps.