A class of continua that are not attractors of any IFS

Details A class of continua that are not attractors of any IFS A class of continua that are not attractors of any IFS

2012-03-05

arxiv.org/abs/1203.0851v1

Mathematics

Dynamical Systems

Scientific paper

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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