Canonical embeddings of compact metric spaces (Q389084)
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scientific article; zbMATH DE number 6247516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Canonical embeddings of compact metric spaces |
scientific article; zbMATH DE number 6247516 |
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Canonical embeddings of compact metric spaces (English)
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17 January 2014
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The paper under review considers the following well-known canonical isometric embeddings of metric spaces into normed spaces: the Hausdorff-Kuratowski embedding and the Kantorovich-Rubinshtein embedding. Inspired by \textit{J. Melleray} et al. [Fundam. Math. 199, No. 2, 177--194 (2008; Zbl 1178.46016)], the author proves that these canonical embeddings do not coincide for every infinite compact metric space.
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Hausdorff-Kuratowski embedding
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Kantorovich-Rubinshtein embedding
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