Minimal bi-Lipschitz embedding dimension of ultrametric spaces
Luukkainen, Jouni ; Movahedi-Lankarani, Hossein
Fundamenta Mathematicae, Tome 144 (1994), p. 181-193 / Harvested from The Polish Digital Mathematics Library
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We prove that an ultrametric space can be bi-Lipschitz embedded in ℝn 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.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212022 
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Luukkainen, Jouni; Movahedi-Lankarani, Hossein. Minimal bi-Lipschitz embedding dimension of ultrametric spaces. Fundamenta Mathematicae, Tome 144 (1994) pp. 181-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv144i2p181bwm/

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