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On the separation of basic semialgebraic sets by polynomials |
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| Authors: | Ludwig Bröcker |
| Institution: | (1) Mathematisches Institut der Universität, Einsteinstraße 62, D-4400 Münster |
| Abstract: | In this paper we show that two disjoint basic closed semialgebraic sets, defined over a real closed field R, can be separated by a polynomial, if one of them has dimension  2. Counterexamples are given in all higher dimensions. |
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