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

DOI10.1142/S0129167X14500712zbMath1328.14088arXiv1212.1815MaRDI QIDQ2878772

José F. Fernando, Carlos Ueno

Publication date: 5 September 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1815

zbMATH Keywords

polynomial maps and imagesconvex polyhedron and its complementfirst and second trimming position

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Computational aspects related to convexity (52B55) Nonconvex programming, global optimization (90C26) Semialgebraic sets and related spaces (14P10)

Related Items (7)

A short proof for the open quadrant problem ⋮ On Nash images of Euclidean spaces ⋮ On polynomial images of a closed ball ⋮ Surjective Nash maps between semialgebraic sets ⋮ Polynomial, regular and Nash images of Euclidean spaces ⋮ On the set of points at infinity of a polynomial image of \(\mathbb R^n\) ⋮ Complements of unbounded convex polyhedra as polynomial images of \({{\mathbb{R}}}^n\)

Cites Work

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• A note on boundaries of open polynomial images of \(\mathbb R^2\)
• Polynomial images of \(\mathbb{R}^n\)
• On convex polygons and their complements as images of regular and polynomial maps of \(\mathbb R^2\)
• On the one dimensional polynomial and regular images of \(\mathbb R^n\)
• Polynomial and regular images of \(\mathbb R^n\)
• On convex polyhedra as regular images of ℝ ⁿ
• Lectures on Polytopes
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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