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arXiv · 2603.14924

A simplified proof of the o-minimal Whitney Extension Theorem

Beata Kocel-Cynk·Wiesław Pawłucki·Anna Valette
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Abstract

We give a proof of the o-minimal version of the Whitney Extension Theorem simplified as compared to the original ones. A new simplifying ingredient is a definable variant of Urysohn's lemma for class $\mathcal{C}^q$ (see Section 3).

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Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette. 2026-03-16. A simplified proof of the o-minimal Whitney Extension Theorem. https://arxiv.org/abs/2603.14924

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