Document Type
Discussion Paper
Publication Date
12-1-1994
CFDP Number
1087
CFDP Pages
17
Abstract
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.
Recommended Citation
Bárány, Imre; Scarf, Herbert E.; and Shallcross, David F., "The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case" (1994). Cowles Foundation Discussion Papers. 1330.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1330