| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4670708 | Comptes Rendus Mathematique | 2010 | 6 Pages |
Abstract
For A⊂m{0,…,n−1}, let EA be the unique nonempty compact subset of Rm such that . We show that two such self-similar sets EA and EB (for A,B⊂m{0,…,n−1}), supposed to be totally disconnected, are Lipschitz equivalent if and only if #A=#B.
RésuméSi A⊂m{0,…,n−1}, soit EA l'unique compact non vide de Rm tel que . Nous montrons que deux tels ensembles auto-similaires totalement discontinus EA et EB (avec A,B⊂m{0,…,n−1}) sont lipschitziennement équivalents si et seulement si #A=#B.
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