Title

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

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.

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