J. Fernando

activity

20122021

most citedOn the one dimensional polynomial and regular images of

R^{n}

2 citations · 2 across the 6 of their papers we have counts for

collaborators

12 papers

math.AG2021

Topics in global real analytic geometry

F. Acquistapace, F. Broglia, J. F. Fernando

In the first half of twentieth century the theory of complex analytic functions and of their zerosets was fully developed. The definition of holomorphic function has a local nature…

math.AG2020

Spectral maps associated to semialgebraic branched coverings

E. Baro, Jose F. Fernando, J. M. Gamboa

In this article we prove that a semialgebraic map is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a nea…

math.AG2019

Rings of differentiable semialgebraic functions

E. Baro, José F. Fernando, J. M. Gamboa

In this work we analyze the main properties of the Zariski and maximal spectra of the ring $S^{r} (M)$ of differentiable semialgebraic functions of class $C^{r}$ o…

math.AG2018

Differentiable approximation of continuous semialgebraic maps

José F. Fernando, Riccardo Ghiloni

In this work we approach the problem of approximating uniformly continuous semialgebraic maps $f : S \to T$ from a compact semialgebraic set $S$ to an arbitrary semialgebraic set $T$ …

math.DG2018

Smooth approximations in PL geometry

José F. Fernando, Riccardo Ghiloni

Let $Y \subset R^{n}$ be a triangulable set and let $r$ be either a positive integer or $r = \infty$ . We say that $Y$ is a $C^{r}$ -approximation target space, or a $\ma…

math.AG2018

On the set of local extrema of a subanalytic function

José F. Fernando

Let $F$ be a category of subanalytic subsets of real analytic manifolds that is closed under basic set-theoretical and basic topological operations. Let $M$ be a real a…