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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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404902001214
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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| Deposited On: | 17 May 2012 10:54 |
| Last Modified: | 17 May 2012 10:54 |
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