%0 Journal Article %A Fernando Galván, José Francisco %A Gamboa Mutuberria, José Manuel %T Polynomial images of R-n %D 2003 %@ 0022-4049 %U https://hdl.handle.net/20.500.14352/57238 %X Let R be a real closed field and n greater than or equal to 2. We prove that: (1) for every finite subset F of R", the semialgebraic set R"\F is a polynomial image of R"; and (2) for any independent linear forms 1, of R", the semialgebraic set {l(1) > 0,..., l(r) > 0} subset of R" is a polynomial image of R" %~