The complex of maximal lattice free simplices Academic Article uri icon


  • 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. © 1994 The Mathematical Programming Society, Inc.

author list (cited authors)

  • Bárány, I., Howe, R., & Scarf, H. E.

citation count

  • 13

publication date

  • August 1994