Let J(n) be the hyperspace of all centrally symmetric compact convex bodies A subset of or equal to R-n, n greater than or equal to 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained ...
Let G be a compact Lie group, X a metric G-space, and exp X the hyperspace of all nonempty compact subsets of X endowed with the Hausdorff metric topology and with the induced action of G. We prove that the following three ...