The Complex of Maximal Lattice Free Simplices

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) x 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.

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Year of publication:	1992-11
Authors:	Barany, Imre ; Howe, Roger ; Scarf, Herbert E.
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
Language:	English
Notes:	CFP 888. Published in Mathematical Programming (1994), 66: 273-281 The price is None Number 1032 15 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005196059