The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case

Given a generic m×n matrix A, the simplicial complex K.(A) is defined to be the collection of simplices representing maximal lattice point free convex bodies of the form x∶Ax≤b. The main result of this paper is that the topological space associated with K(A) is homeo-morphic with Rm−1.