J. Fernando

activity

20122025

most citedOn complements of convex polyhedra as polynomial and regular images of

R^{n}

14 citations · 74 across the 28 of their papers we have counts for

collaborators

Showing 2015Show all

6 papers · 1 filter

math.AG2015

On the remainder of the semialgebraic Stone-Cěch compactification of a semialgebraic set

José F. Fernando, J. M. Gamboa

In this work we analyze some topological properties of the remainder $\partial M := β_{s}^{*} M ∖ M$ of the semialgebraic Stone-Cěch compactification $β_{s}^{*} M$ of a semialgebraic…

math.AG2015

The open quadrant problem: A topological proof

Jose F. Fernando, J. M. Gamboa, Carlos Ueno

In this work we present a new polynomial map $f := (f_{1}, f_{2}) : R^{2} \to R^{2}$ whose image is the open quadrant ${x > 0, y > 0} \subset R^{2}$ . The proof of this fact…

math.AG2015

On Nash images of Euclidean spaces

José F. Fernando

In this work we characterize the subsets of $R^{n}$ that are images of Nash maps $f : R^{m} \to R^{n}$ . We prove Shiota's conjecture and show that a subset ${\m…

math.AG2015

On the irreducible components of globally defined semianalytic sets

José F. Fernando

In this work we present the concept of amenable $C$ -semianalytic subset of a real analytic manifold $M$ and study the main properties of this type of sets. Amenable $C$ -semianalyti…

math.AG2015★ 1 cited

On globally defined semianalytic sets

Francesca Acquistapace, Fabrizio Broglia, José F. Fernando

In this work we present the concept of $C$ -semianalytic subset of a real analytic manifold and more generally of a real analytic space. $C$ -semianalytic sets can be understood as t…

math.AG2015

A short proof for the open quadrant problem

Jose F. Fernando, Carlos Ueno

In 2003 it was proved that the open quadrant ${x > 0, y > 0}$ of $R^{2}$ is a polynomial image of $R^{2}$ . This result was the origin of an ulterior more systematic st…