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Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Classстатья
- Авторы: Ivanov A.O., Tuzhilin A.A.
- Журнал: ArXiv e-prints
- Номер: arXiv:2203.02904 [math.MG]
- Год издания: 2022
- Аннотация: 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.
- Добавил в систему: Тужилин Алексей Августинович