CFDP 1032

The Complex of Maximal Lattice Free Simplices


Publication Date: November 1992

Pages: 15


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 < b}, with A a fixed (n + 1) × n matrix. The topological space associated with K(A) is shown to be homeomorphic to Rn, and the space obtained by identifying lattice translates of these simplices is homeomorphic to the n-torus.

See CFP: 888