Combinatorial invariants of finite metric spaces and the Wasserstein
arrangement
Combinatorial invariants of finite metric spaces and the Wasserstein
arrangement
In 2010, Vershik proposed a new combinatorial invariant of metric spaces given by a class of polytopes that arise in the theory of optimal transport and are called ``Wasserstein polytopes'' or ``Kantorovich-Rubinstein polytopes'' in the literature. Answering a question posed by Vershik, we describe the stratification of the metric cone …