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Discussion Paper

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 de&#xfb01;ned 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 homeomorphic with Rm-1.