A note on boundaries of open polynomial images of $\mathbb R^2$
Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, p. 981-988 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2008-04-15
Classification:  polynomial images,  semialgebraic sets,  parametric semilines,  14P10 
@article{1228834301,
     author = {Ueno
,  
Carlos},
     title = {A note on boundaries of open polynomial images of $\mathbb R^2$},
     journal = {Rev. Mat. Iberoamericana},
     volume = {24},
     number = {2},
     year = {2008},
     pages = { 981-988},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1228834301}
}

Ueno
,  
Carlos. A note on boundaries of open polynomial images of $\mathbb R^2$. Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, pp.  981-988. http://gdmltest.u-ga.fr/item/1228834301/