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

Given a generic m x n matrix A, the simplicial complex {bold 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 {bold K}(A) is homeomorphic with R^{m-1}.

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Year of publication:	1994-12
Authors:	Barany, Imre ; Scarf, Herbert E. ; Shallcross, David F.
Institutions:	Cowles Foundation for Research in Economics, Yale University

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Extent:	application/pdf
Series:	Cowles Foundation Discussion Papers.
Type of publication:	Book / Working Paper
Notes:	CFP 959. Published in Mathematical Programming (1998), 80: 1-15 The price is None Number 1087 17 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005593224