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math.LO2026
A simplified proof of the o-minimal Whitney Extension Theorem
Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette
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 Urysoh…
math.AG2026
Inner Lipschitz approximation in o-minimal structures
Nhan Nguyen, Anna Valette, Guillaume Valette
Given an o-minimal structure, we show that every definable (in this structure) mapping that is Lipschitz with respect to the inner metric can be approximated by map…