RT Journal Article
T1 On convex polyhedra as regular images of R(n)
A1 Fernando Galván, José Francisco
A1 Gamboa Mutuberria, José Manuel
A1 Ueno, Carlos
AB We show that convex polyhedra in R(n) and their interiors are images of regular maps R(n) -> R(n). As a main ingredient in the proof, given an n-dimensional, bounded, convex polyhedron K subset of R(n) and a point p is an element of R(n) \ K, we construct a semialgebraic partition {A, B, T} of the boundary partial derivative K of K determined by p, and compatible with the interiors of the faces of K, such that A and B are semialgebraically homeomorphic to an (n - 1)-dimensional open ball and J is semialgebraically homeomorphic to an (n - 2)-dimensional sphere. Finally, we also prove that closed balls in R n and their interiors are images of regular maps R(n) -> R(n).
PB Oxford University Press (OUP)
SN 0024-6115
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42151
UL https://hdl.handle.net/20.500.14352/42151
LA eng
NO GAAR
NO Santander Complutense
NO GAAR
DS Docta Complutense
RD 6 abr 2025