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

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