Carlos Ueno

activity

20152024

most citedUnbounded convex polyhedra as polynomial images of Euclidean spaces

6 citations · 9 across the 5 of their papers we have counts for

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math.AG2024★ 3 cited

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 $R^{n}$ are images under polynomial maps $f : R^{m} \to R^{n}$ of t…

math.AG2024★ 6 cited

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 $n$ -dimensional convex polyhedron $K s u b se t R^{n}$ and its relative interior are regular images of $R^{n}$ . As the i…

math.AG2017

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 $\to$ R m is regulo…

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

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…