Geodesic
Canonical embeddings of compact metric spaces
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 40-46

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We prove that for any compact metric space having at least five points, two canonical (Hausdorff–Kuratowski and Kantorovich–Rubinshtein) embeddings do not coincide. Bibl. 3 titles. 
@article{ZNSL_2010_378_a3,
     author = {P. B. Zatitskiy},
     title = {Canonical embeddings of compact  metric spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {40--46},
     publisher = {mathdoc},
     volume = {378},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a3/}
}
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P. B. Zatitskiy. Canonical embeddings of compact  metric spaces. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 40-46. http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a3/