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arXiv · 2203.02904

Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class

Alexander O. Ivanov·Alexey A. Tuzhilin
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Abstract

It is shown that any bounded metric space can be isometrically embedded into the Gromov--Hausdorff metric class GH. This result is a consequence of local geometry description of the class GH in a sufficiently small neighborhood of a generic metric space. This description is interesting in itself. The technique of optimal correspondences and their distortions is used.

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Alexander O. Ivanov, Alexey A. Tuzhilin. 2022-03-06. Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class. https://arxiv.org/abs/2203.02904

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