A note on boundaries of open polynomial images of \(\mathbb R^2\)
type: Item
instance of: scholarly article
title: A note on boundaries of open polynomial images of \(\mathbb R^2\)
zbMATH Open document ID: 1156.14330
DOI: 10.4171/RMI/563
author: Carlos Ueno
published in: Revista Matemática Iberoamericana
publication date: 2009-02-19T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmi/1228834301
full work available at URL: https://eudml.org/doc/42403
review text: Summary: We construct a family of polynomial maps \(\mathbb{R}^2\rightarrow\mathbb{R}^2\) such that their images are open semialgebraic sets whose topological exteriors have arbitrarily many connected components, which are parametric semilines.
Mathematics Subject Classification ID: 14P10
zbMATH DE Number: 5509270
zbMATH Keywords: polynomial images
zbMATH Keywords: semialgebraic sets
zbMATH Keywords: parametric semilines
MaRDI profile type: Publication
cites work: Polynomial images of \(\mathbb{R}^n\)
cites work: Polynomial and regular images of \(\mathbb R^n\)
cites work: Q4954118
description: scientific article; zbMATH DE number 5509270