Skip to main content
profile image
Selected Works of Stephen R. McDowall
Article
Constructing infinite dimensional polytopes using Gale transforms
SEAMS Bulletin of Mathematics (1999)
  • Stephen R. McDowall, Western Washington University
  • Graham R Wood, Central Queensland University, Australia
  • Peter Kleinschmidt, Universitat Passau
Download
Abstract
A method already exists for constructing the Gale transform of an infinite-dimensional alpha-polytope with countably many extreme points. This transform can be used to determine all closed faces of the polytope. In this paper we study the reverse process, showing that the Gale transform can be used to construct an alpha-polytope.
Disciplines
Publication Date
1999
Citation Information
Stephen R. McDowall, Graham R Wood and Peter Kleinschmidt. "Constructing infinite dimensional polytopes using Gale transforms" SEAMS Bulletin of Mathematics Vol. 23 (1999) p. 291 - 307
Available at: http://works.bepress.com/stephen_mcdowall/12/