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arXiv · 2501.07648

Bi-Lipschitz embeddings revisited

H. Movahedi-Lankarani·R. Wells
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Abstract

Given a metric space (X, d), we continue our study of the distance function x\mapsto d(x,-) and its relation to bi-Lipschitz embeddings of (X, d) into R^N. As application, given a compact metric-measure space (X, d,μ), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding.

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H. Movahedi-Lankarani, R. Wells. 2025-01-13. Bi-Lipschitz embeddings revisited. https://arxiv.org/abs/2501.07648

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