Integrally indecomposable polytopes

Abstract

Gao gave a criterion for the integral indecomposability, with respect to the Minkowski sum, of polytopes lying inside a pyramid with an integrally indecomposable base. Here, we weakened this criterion to the polytopes lying inside the convex hull of two polytopes, one of which is integrally indecomposable, being in two parallel nonintersecting hyperplanes.