The complex of maximal lattice free simplices

The complex of maximal lattice free simplices

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Article ID: iaor19961369
Country: Netherlands
Volume: 66
Issue: 3
Start Page Number: 273
End Page Number: 281
Publication Date: Sep 1994
Journal: Mathematical Programming (Series A)
Authors: , ,
Abstract:

The simplicial complex K(A) is defined to be the collection of simplices, and their proper sub-simplices, 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 ℝn, and the space obtained by identifying lattice translates of these simplices is homeorphic to the n-torus.

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