Keyword: Dimension 3 : Search

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articleNo Access
On the complements of 3-dimensional convex polyhedra as polynomial images of ℝ³
- José F. Fernando and
- Carlos Ueno
International Journal of Mathematics01 Jun 2014
Preview Abstract
Let be a convex polyhedron of dimension n. Denote and let be its closure. We prove that for n = 3 the semialgebraic sets and are polynomial images of ℝ³. The former techniques cannot be extended in general to represent the semialgebraic sets and as polynomial images of ℝⁿ if n ≥ 4.
chapterNo Access
Some lattice parallelepipeds with unimodular covers
- Mónica Blanco
Algebraic and Geometric Combinatorics on Lattice Polytopes01 Jun 2019
Preview Abstract
In this paper I will study a 3-parameter family of lattice parallelepipeds. I will study the behavior of the lattice with respect to the parameters and prove that three 2-parameter subfamilies have unimodular covers.

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