Title of article
IFS attractors and Cantor sets
Author/Authors
Crovisier، نويسنده , , Sylvain and Rams، نويسنده , , Micha?، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2006
Pages
11
From page
1849
To page
1859
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 R 3 such that every homeomorphism f of R 3 which preserves K coincides with the identity on K.
Keywords
Cantor set , Iterated function system , Antoineיs necklace
Journal title
Topology and its Applications
Serial Year
2006
Journal title
Topology and its Applications
Record number
1580812
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