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Polynomial images of R-n

Fernando Galván, José Francisco and Gamboa, J.M. (2003) Polynomial images of R-n. Journal of Pure and Applied Algebra , 179 (3). pp. 241-254. ISSN 0022-4049

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Abstract

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"

Item Type:Article
Uncontrolled Keywords:Real
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15232
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