Cubillages on cyclic zonotopes, membranes, and higher separatation

V. I. Danilov; A. V. Karzanov; G. A. Koshevoy

paper

Cubillages on cyclic zonotopes, membranes, and higher separatation

arXiv:1810.05517

Abstract

We study certain structural properties of fine zonotopal tilings, or cubillages, on cyclic zonotopes $Z (n, d)$ of an arbitrary dimension $d$ and their relations to $(d - 1)$ -separated collections of subsets of a set ${1, 2, \dots, n}$ . (Collections of this sort are well known as strongly separated ones when $d = 2$ , and as chord separated ones when $d = 3$ .)

16 pages, 1 figure