DUALITY FOR CONVEX POLYTOPES

A. B. ROMANOWSKA, P. ŚLUSARSKI, J. D. H. SMITH
2009 Journal of the Australian Mathematical Society  
This paper establishes a duality between the category of polytopes (finitely generated real convex sets considered as barycentric algebras) and a certain category of intersections of hypercubes, considered as barycentric algebras with additional constant operations. 2000 Mathematics subject classification: primary 18C05, 52A01; secondary 08A35, 08A05, 18A35.
doi:10.1017/s1446788708000554 fatcat:e2zbzmxbbvaqlkbzyxycko2c54