An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space
Abstract
We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map.
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