COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

COWLES FOUNDATION DISCUSSION PAPER NO. 1087

The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case

I. Bárány, Herbert E. Scarf, and David Shallcross

December 1994

Given a generic m x n matrix A, the simplicial complex K(A) is defined to be the collection of simplices representing maximal lattice point free convex bodies of the form {x : Ax < b}. The main result of this paper is that the topological space associated with K(A) is homeomorphic with R^m-1.