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

Fernando Galván, José FranciscoUeno, Carlos2023-06-192023-06-1920140129-167X10.1142/S0129167X14500712https://hdl.handle.net/20.500.14352/34962Let 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.engOn the complements of 3-dimensional convex polyhedra as polynomial images of R3journal articlehttp://arxiv.org/pdf/1212.1815v3.pdfhttp://arxiv.orgopen access512Polynomial maps and imagesComplement of a convex polyhedraFirst and second trimming positionsDimension 3Álgebra1201 Álgebra