Geodesic
An invariant of bi-Lipschitz maps
Hossein Movahedi-Lankarani 1
1 Department of Mathematics Penn State Altoona Campus Altoona, Pennsylvania 16601-3760 U.S.A.
Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 1-9

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

A new numerical invariant for the category of compact metric spaces and Lipschitz maps is introduced. This invariant takes a value less than or equal to 1 for compact metric spaces that are Lipschitz isomorphic to ultrametric ones. Furthermore, a theorem is provided which makes it possible to compute this invariant for a large class of spaces. In particular, by utilizing this invariant, it is shown that neither a fat Cantor set nor the set ${0}∪{1/n}_{n≥1}$ is Lipschitz isomorphic to an ultrametric space.
DOI : 10.4064/fm-143-1-1-9

Hossein Movahedi-Lankarani  1

1 Department of Mathematics Penn State Altoona Campus Altoona, Pennsylvania 16601-3760 U.S.A. 
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Hossein Movahedi-Lankarani . An invariant of bi-Lipschitz maps. Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 1-9. doi: 10.4064/fm-143-1-1-9

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