Weak Order Cubical Complexes

Segrei Ovchinnikov
San Francisco State University


In this talk we will present geometric models of the set WO of weak orders on a finite set X. In particular, WO is modeled as a set of vertices of a cubical subcomplex of a cube. This approach is an alternative to the usual representation of WO by means of a weak order polytope. We will also describe an application of this model in the framework of media theory.