Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 2097

Preprint Number 2097

Previous Next Preprint server

2097. Nicolas Chavarria, Gabriel Conant, Anand Pillay
Continuous stable regularity

Submission date: 9 November 2021


We prove an analytic version of the stable graph regularity lemma from [MaSh], which applies to stable functions f : V × W → [0,1]. Our methods involve continuous model theory and, in particular, results on the structure of local Keisler measures for stable continuous formulas. Along the way, we develop some basic tools around ultraproducts of metric structures and linear functionals on continuous formulas, and we also describe several concrete families of examples of stable functions.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2111.05435: pdf, ps.

Last updated: November 29 2021 20:51 Please send your corrections to: