THE COMPLEX OF MAXIMAL LATTICE FREE SIMPLICES Academic Article uri icon

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: Axb), with A a fixed generic (n + 1) n matrix. The topological space associated with K(A) is shown to be homeomorphic to n , and the space obtained by identifying lattice translates of these simplices is homeorphic to the n-torus. 1994 The Mathematical Programming Society, Inc.

published proceedings

  • MATHEMATICAL PROGRAMMING

author list (cited authors)

  • BARANY, I., HOWE, R., & SCARF, H. E.

citation count

  • 14

complete list of authors

  • BARANY, I||HOWE, R||SCARF, HE

publication date

  • August 1994