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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0108-5,
author = {Marcin Kulczycki and Magdalena Nowak},
title = {A class of continua that are not attractors of any IFS},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2073-2076},
zbl = {1259.28013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0108-5}
}
Marcin Kulczycki; Magdalena Nowak. A class of continua that are not attractors of any IFS. Open Mathematics, Tome 10 (2012) pp. 2073-2076. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0108-5/
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