The Complex of Maximal Lattice Free Simplices

The simplicial complex K(A) is defined to be the collection of simplices, and their proper subsimplices, representing maximal lattice free bodies of the form {x : Ax

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

Given a generic m x 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 \u3c b }. The main result of this paper is that the topological space associated with K ( A ) is homeomorphic with R m -1