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A class of continua that are not attractors of any IFS

Marcin Kulczycki; Magdalena Nowak — 2012

Open Mathematics

This paper presents a sufficient condition for a continuum in ℝn to be embeddable in ℝn in such a way that its image is not an attractor of any iterated function system. An example of a continuum in ℝ2 that is not an attractor of any weak iterated function system is also given.

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