IFS attractors and Cantor sets
Résumé
We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R^3 such that every homeomorphism f of R^3 which preserves K coincides with the identity on K.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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