Document Type
Discussion Paper
Publication Date
11-1-1992
CFDP Number
1032
CFDP Pages
15
Abstract
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 ( 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 homeomorphic to the n -torus.
Recommended Citation
Bárány, Imre; Howe, Roger; and Scarf, Herbert E., "The Complex of Maximal Lattice Free Simplices" (1992). Cowles Foundation Discussion Papers. 1275.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1275