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arXiv · 2510.26013

Open cell property in weakly o-minimal structures

Tomohiro Kawakami·Hiroshi Tanaka
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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.

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Tomohiro Kawakami, Hiroshi Tanaka. 2025-10-29. Open cell property in weakly o-minimal structures. https://arxiv.org/abs/2510.26013

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