A class of continua that are not attractors of any IFS
classification
🧮 math.DS
keywords
attractorcontinuumfunctioniteratedsystemattractorsclasscondition
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This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system. An example of a continuum in $R^2$ that is not an attractor of any weakly contracting iterated function system is also given.
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