On the complements of 3-dimensional convex polyhedra as polynomial images of R3

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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
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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