Geodesic
Ultrametric spaces bi-Lipschitz embeddable in $ℝ^n$
Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 25-42.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that if an ultrametric space can be bi-Lipschitz embedded in $ℝ^n$, then its Assouad dimension is less than n. Together with a result of Luukkainen and Movahedi-Lankarani, where the converse was shown, this gives a characterization in terms of Assouad dimension of the ultrametric spaces which are bi-Lipschitz embeddable in $ℝ^n$.
DOI : 10.4064/fm-150-1-25-42

Kerkko Luosto 1

1 
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Kerkko Luosto. Ultrametric spaces bi-Lipschitz embeddable in $ℝ^n$. Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 25-42. doi : 10.4064/fm-150-1-25-42. http://geodesic.mathdoc.fr/articles/10.4064/fm-150-1-25-42/

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