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Minimal bi-Lipschitz embedding dimension of ultrametric spaces by Jouni L u u k k a i n e n (Helsinki) and Hossein M o v a h e d i- L a n k a r a n i (Altoona, Penn.) Abstract. We prove that an ultrametric space can be bi-Lipschitz embedded in R n if its metric dimension in Assouad’s sense is smaller than n. We also characterize ultrametric spaces up to bi-Lipschitz homeomorphism as dense subspaces of ultrametric inverse limits of certain inverse sequences of discrete spaces

Year: 2009
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