Some model-theoretic consequences of high-arity uniform convergence, part I
Logic
2026-05-12 v1
Abstract
We show that certain families of sets in (or ) which are neither definable nor have bounded VC-dimension are nonetheless uniformly approximately definable in the real field, an o-minimal structure.
Cite
@article{arxiv.2605.09911,
title = {Some model-theoretic consequences of high-arity uniform convergence, part I},
author = {Leonardo N. Coregliano and Maryanthe Malliaris},
journal= {arXiv preprint arXiv:2605.09911},
year = {2026}
}
Comments
19 pages