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

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

For every tuple $d_1,\dots ,d_l\ge 2,$ let ${\mathbb{R}}^{d_1}\otimes \cdots \otimes {\mathbb{R}}^{d_l}$ denote the tensor product of ${\mathbb{R}}^{d_i},$ $i=1,\dots ,l.$ Let us denote by…