IFS attractors and Cantor sets |
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| Authors: | Sylvain Crovisier Micha? Rams |
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| Affiliation: | a CNRS-LAGA UMR 7539, Université Paris 13, 93430 Villetaneuse, France
b Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon, France |
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| Abstract: | 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 R3 such that every homeomorphism f of R3 which preserves K coincides with the identity on K. |
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| Keywords: | 37C70 54C50 |
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