A class of continua that are not attractors of any IFS

2012/03/05 by Marcin Kulczycki, Kulczycki, Marcin, Magdalena Nowak +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Caveolin-1 and cellular processes #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.1203.0851

arxiv created 2012/03/05 · arxiv updated 2012/03/06

Abstract

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 weakly contracting iterated function system is also given.

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