We construct a family of polynomial maps 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 . Rev. Mat. Iberoam. 24 (2008), no. 3, pp. 981–988DOI 10.4171/RMI/563