14 citations · 31 across the 10 of their papers we have counts for
10 papers
On polynomial images of a closed ball
José F. Fernando, Carlos Ueno
In this work we approach the problem of determining which (compact) semialgebraic subsets of are images under polynomial maps of t…
Unbounded convex polyhedra as polynomial images of Euclidean spaces
José F. Fernando, J. M. Gamboa, Carlos Ueno
In a previous work we proved that each -dimensional convex polyhedron and its relative interior are regular images of . As the i…
On regulous and regular images of Euclidean spaces
José Fernando, Goulwen Fichou, Ronan Quarez +1
In this work we compare the semialgebraic subsets that are images of regulous maps with those that are images of regular maps. Recall that a map f : R n R m is regulo…
The open quadrant problem: A topological proof
Jose F. Fernando, J. M. Gamboa, Carlos Ueno
In this work we present a new polynomial map whose image is the open quadrant . The proof of this fact…
A short proof for the open quadrant problem
Jose F. Fernando, Carlos Ueno
In 2003 it was proved that the open quadrant of is a polynomial image of . This result was the origin of an ulterior more systematic st…
On complements of convex polyhedra as polynomial images of
José F. Fernando, Carlos Ueno
In this work we prove constructively that the complement of an -dimensional unbounded convex polyhedron a…
Unbounded convex polygons as polynomial images of the plane
Carlos Ueno
In this note we show that unbounded convex polygons with nonparallel unbounded edges are polynomial images of , whereas their interiors are polynomial images of ${\m…
On complements of convex polyhedra as polynomial and regular images of
José F. Fernando, Carlos Ueno
In this work we prove constructively that the complement $\R^n\setminus\pol$ of a convex polyhedron $\pol\subset\R^n$ and the complement $\R^n\setminus\Int(\pol)$ of its interior a…
On the complements of 3-dimensional convex polyhedra as polynomial images of
José F. Fernando, Carlos Ueno
We prove that the complement of a 3-dimensional convex polyhedron and its closure $\overline{\…
On the set of points at infinity of a polynomial image of
José F. Fernando, Carlos Ueno
In this work we prove that the set of points at infinity of a semialgebraic set whic…