Horst Martini Luis Montejano Déborah Oliveros An Introduction to Convex Geometry with
Applications Page 1 Bodies of Constant Width Horst Martini Luis Montejano Déborah Oliveros An …

Let cc (R n) denote the hyperspace of all nonempty compact convex subsets of the
Euclidean space R n endowed with the Hausdorff metric, and let cc (B n)={A∈ cc (R n)| A⊂ …

For every n≥ 2, let K kn denote the hyperspace of all k-dimensional closed convex subsets
of the Euclidean space R n endowed with the Atouch-Wets topology. Let K k, bn be the …

We determine the homeomorphism type of the hyperspace of positively curved C∞ convex
bodies in R n, and derive various properties of its quotient by the group of Euclidean …

There exists a natural embedding of the hyperspace of compact convex bodies of constant
width in R n into those of R n+ 1. This allows us to consider the hyperspace of compact …

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 the …

In a preceding work it is determined when a convex body in R d, d= d 1⋯ dl, is the unit ball of
a reasonable crossnorm on R d 1⊗⋯⊗ R d l. Consequently, the class of tensorial bodies is …

Abstract For every tuple d 1,…, dl≥ 2, let R d 1⊗⋯⊗ R dl denote the tensor product of R di, i=
1,…, l. Let us denote by B (d) the hyperspace of centrally symmetric convex bodies in R d, d …