Natalia Jonard-Pérez

activity

20202022

most citedA topological insight into the polar involution of convex sets

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2022★ 1 cited

A topological insight into the polar involution of convex sets

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

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

math.GT2021★ 1 cited

On the topology of some hyperspaces of convex bodies associated to tensor norms

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

For every tuple $d_{1}, \dots, d_{l} \geq 2,$ let $R^{d_{1}} \otimes \dots \otimes R^{d_{l}}$ denote the tensor product of $R^{d_{i}},$ $i = 1, \dots, l .$ Let us denote by…

math.MG2020

Some generalizations on affine invariant points

Natalia Jonard-Perez

In this note we prove a more general (and topological) version of Grünbaum's conjecture about affine invariant points. As an application of our result we show that, if we consider…