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arXiv · 1203.0851

A class of continua that are not attractors of any IFS

Marcin Kulczycki·Magdalena Nowak
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Abstract

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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Marcin Kulczycki, Magdalena Nowak. 2012-03-05. A class of continua that are not attractors of any IFS. https://arxiv.org/abs/1203.0851

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