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A simplified proof of the o-minimal Whitney Extension Theorem

Logic 2026-03-17 v1 Algebraic Geometry

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 Cq\mathcal{C}^q (see Section 3).

Keywords

Cite

@article{arxiv.2603.14924,
  title  = {A simplified proof of the o-minimal Whitney Extension Theorem},
  author = {Beata Kocel-Cynk and Wiesław Pawłucki and Anna Valette},
  journal= {arXiv preprint arXiv:2603.14924},
  year   = {2026}
}

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10 pages