Mixed Volumes

Abstract

As before,

$$A + B = \left\{ {a + b:a \in A,b \in B} \right\}$$

denotes the vector sum (Minkowski sum) of the subsets A and B of Euclidean space ℝⁿ, while λA = {λa: a ∈ A} is the result of the homothety of A with coefficient λ. In this chapter (except for Addendum 2), we consider only non-empty convex compact subsets of the space ℝⁿ, often without saying it explicitly.

Written jointly with V. P. Fedotov.