RT Journal Article
T1 A short proof for the open quadrant problem
A1 Fernando Galván, José Francisco
AB In 2003 it was proved that the open quadrant Q := {x > 0, y > 0) of R-2 is a polynomial image of R-2. This result was the origin of an ulterior more systematic study of polynomial images of Euclidean spaces. In this article we provide a short proof of the previous fact that does not involve computer calculations, in contrast with the original one. The strategy here is to represent the open quadrant as the image of a polynomial map that can be expressed as the composition of three simple polynomial maps whose images can be easily understood.
PB Elsevier
SN 0747-7171
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17567
UL https://hdl.handle.net/20.500.14352/17567
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO ‘Scuola Galileo Galilei’
NO Università di Pisa and Spanish
DS Docta Complutense
RD 8 abr 2025