A note on boundaries of open polynomial images of $\mathbb R^2$

Carlos Ueno

doi:10.4171/rmi/563

JournalsrmiVol. 24, No. 3pp. 981–988

A note on boundaries of open polynomial images of $R^{2}$

Carlos Ueno
IES Jandía, Morro Jable, Spain

$A note on boundaries of open polynomial images of $\mathbb R^2$ cover$

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Abstract

We construct a family of polynomial maps $R^{2} \to R^{2}$ such that their images are open semialgebraic sets whose topological exteriors have arbitrarily many connected components, which are parametric semilines.

Cite this article

Carlos Ueno, A note on boundaries of open polynomial images of $R^{2}$ . Rev. Mat. Iberoam. 24 (2008), no. 3, pp. 981–988

DOI 10.4171/RMI/563