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Fernando Galván, José Francisco and Ueno, Carlos
(2014)
*On the complements of 3-dimensional convex polyhedra as polynomial images of R3.*
International journal of mathematics, 25
(7).
p. 1450071.
ISSN 0129-167X

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Official URL: http://arxiv.org/pdf/1212.1815v3.pdf

## Abstract

Let K Rn be a convex polyhedron of dimension n. Denote S := RnK and let S be its closure. We prove that for n = 3 the semialgebraic sets S and S are polynomial images of 3. The former techniques cannot be extended in general to represent the semialgebraic sets S and S as polynomial images of n if n ≥ 4.

Item Type: | Article |
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Uncontrolled Keywords: | Polynomial maps and images; Complement of a convex polyhedra; First and second trimming positions; Dimension 3 |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 34574 |

Deposited On: | 01 Dec 2015 08:46 |

Last Modified: | 01 Dec 2015 08:46 |

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