Completeness of the space of separable measures in the Kantorovich-Rubinshteĭn metric

A. S. Kravchenko

We consider the space $M(X)$ of separable measures on the Borel $\sigma$-algebra $\mathcal{B}(X)$ of a metric space $X$. The space $M(X)$ is furnished with the Kantorovich-Rubinshteĭn metr…