Open cell property in weakly o-minimal structures
Logic
2026-02-23 v2
Abstract
Every bounded definable open set is a union of finitely many open strong cells in a weakly o-minimal expansion of a real closed field. We prove this fact and another theorem similar to it.
Cite
@article{arxiv.2510.26013,
title = {Open cell property in weakly o-minimal structures},
author = {Tomohiro Kawakami and Hiroshi Tanaka},
journal= {arXiv preprint arXiv:2510.26013},
year = {2026}
}