Polynomial images of R |
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Authors: | José F Fernando |
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Institution: | Depto de Algebra, F. Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain |
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Abstract: | Let R be a real closed field and n?2. We prove that: (1) for every finite subset F of Rn, the semialgebraic set Rn?F is a polynomial image of Rn; and (2) for any independent linear forms l1,…,lr of Rn, the semialgebraic set {l1>0,…,lr>0}⊂Rn is a polynomial image of Rn. |
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Keywords: | 14P10 14Q99 |
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