Open cell property in weakly o-minimal structures

2025/10/29 by Kawakami, Tomohiro, Tanaka, Hiroshi
#03C64 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2510.26013

Abstract

In an o-minimal structure, Wilkie proved that every bounded definable open set is a finite union of definable open cells. We generalze it to weakly o-minimal structures.

Related

• Sharply o-minimal structures and sharp cellular decomposition
• Locally o-minimal open core
• Dimension functions in weakly o-minimal structures admitting strong cell decomposition
• Pathological examples of structures with o-minimal open core
• Types, transversals and definable compactness in o-minimal structures