A topological insight into the polar involution of convex sets

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

Denote by ${\mathcal{K}}_0^n$ the family of all closed convex sets $A\subset {\mathbb{R}}^n$ containing the origin $0\in {\mathbb{R}}^n$. For $A\in {\mathcal{K}}_0^n,$ its polar set is denoted…