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Bi-Lipschitz embeddings revisited

Published 13 Jan 2025 in math.MG and math.GN | (2501.07648v1)

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 RN. As application, given a compact metric-measure space (X, d,\mu), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding.

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