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Completeness of the Kantorovich-Rubinstein metric
Picek, Radovan ; Seidler, Jan (advisor) ; Maslowski, Bohdan (referee)
In the thesis the Kantorovich-Rubinstein metric in the space of Borel probability me- asures with a finite first moment on a separable complete metric space is studied. Its completeness is proved and convergence of sequences is characterized using elementary tools in Chapter 3. The proofs rely on results about the Dudley metric for weak conver- gence of probability measures, which are dealt with in Chapters 1 and 2. 1

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