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Separability and completeness for the Wasserstein distance

Lecture Notes in Mathematics (2008) 1934 371-377
DOI: 10.1007/978-3-540-77913-1_17
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Abstract

We give an elementary proof that the Wasserstein distances, which play a basic role in optimal transportation issues, turn some, spaces of probability measures into separable complete metric spaces. © 2008 Springer-Verlag Berlin Heidelberg.

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Bolley, F. (2008). Separability and completeness for the Wasserstein distance. In Lecture Notes in Mathematics (Vol. 1934, pp. 371–377). Springer Verlag. https://doi.org/10.1007/978-3-540-77913-1_17

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