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An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space (2410.18442v1)

Published 24 Oct 2024 in math.MG and math.GN

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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  1. Isometric embedding of all compact metric spaces into the Gromov-Hausdorff space
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Authors (1)

  1. Takuma Byakuno
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