Anna Valette

collaborators

5 papers

math.LO2026

A simplified proof of the o-minimal Whitney Extension Theorem

Beata Kocel-Cynk, WiesÅaw PawÅucki, 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 $C^{1}$ map…

math.AG2024

A remark on $C^{\infty}$ definable equivalence

Anna Valette, Guillaume Valette

We establish that if a submanifold $M$ of $R^{n}$ is definable in some o-minimal structure then any definable submanifold $N \subset R^{n}$ which is $\mathscr{C}^\inft…

math.CA2024

Semialgebraic Calderon-Zygmund theorem on regularization of the distance function

Beata Kocel-Cynk, WiesÅaw PawÅucki, Anna Valette

We prove that, for any closed semialgebraic subset $W$ of $R^{n}$ and for any positive integer $p$ , there exists a Nash function $f:\mathbb{R}^n\setminus W\longrightarrow (0…

math.AP2024

Anna Valette, Guillaume Valette

We first define the trace on a domain $I^c ◯$ which is definable in an o-minimal structure. We then show that every function $u \in W^{1, p} (I^c ◯)$ vanishing on the boundary in the trace…

A simplified proof of the o-minimal Whitney Extension Theorem

Inner Lipschitz approximation in o-minimal structures

A remark on C∞ definable equivalence

Semialgebraic Calderon-Zygmund theorem on regularization of the distance function

Uniform PoincarÃ© inequality in o-minimal structures

A remark on $C^{\infty}$ definable equivalence