Homological characterizations of Minkowski summands (Q1601648)

The author presents a number of interesting results concerning links between convex geometry and topology. I mention only some of them. Theorems 2.1, 2.4, and 3.1 give conditions in terms of homological \((n-2)\)-sphere or connected components, sufficient for a convex body to be a Minkowski summand of another one. Theorem 3.3 gives a characterization of Minkowski summands in terms of acyclicity. Theorems 2.3 and 2.6 characterize Euclidean \(n\)-balls in terms of homological \((n-2)\)-sphere or, respectively, in terms of connected components.