THE COMPLEX OF MAXIMAL LATTICE FREE SIMPLICES
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abstract
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: Axb), with A a fixed generic (n + 1) n matrix. The topological space associated with K(A) is shown to be homeomorphic to n , and the space obtained by identifying lattice translates of these simplices is homeorphic to the n-torus. 1994 The Mathematical Programming Society, Inc.