The complex of maximal lattice free simplices

I Bárány, R Howe, HE Scarf - Mathematical Programming, 1994 - Springer
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
generic (n+ 1)× n matrix. The topological space associated with K (A) is shown to be
homeomorphic to ℝ n, and the space obtained by identifying lattice translates of these
simplices is homeorphic to the n-torus.

[CITATION][C] The complex of maximal lattice free simplices

IBR Howe, H Scarf - Mathematical Programming, Ser. A, 1994
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