José F. Fernando

activity

20242026

collaborators

4 papers

math.AG2026

Applications of the Nash double of a Nash manifold with corners

Antonio Carbone, José F. Fernando

In this work we study some properties and applications of Nash manifolds with corners. Our first main result shows how to `build' a Nash manifold with corners ${\mathcal Q}\subset{…

math.AG2026

Nash approximation of differentiable semialgebraic maps

Antonio Carbone, José F. Fernando

Let $T \subset R^{n}$ be a semialgebraic set and let $μ \geq 0$ be a non-negative integer. We say that $T$ is a {\em Nash $μ$ -approximation target space} (or a $({\mathcal N},μ)…

math.AG2025

On a Nash curve selection lemma through finitely many points

José F. Fernando

A celebrated theorem in Real Algebraic and Analytic Geometry (originally due to Bruhat-Cartan and Wallace and stated later in its current form by Milnor) is the (Nash) curve select…

math.AG2024

On the one dimensional polynomial, regular and regulous images of closed balls and spheres

José F. Fernando

We present a full geometric characterization of the $1$ -dimensional (semialgebraic) images $S$ of either $n$ -dimensional closed balls $B_{n} \subset R^{n}$ …