A 1-dimensional Peano continuum which is not an IFS attractor
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Publication:4907124
DOI10.1090/S0002-9939-2012-11737-XzbMath1262.28001arXiv1107.3804OpenAlexW3101308741MaRDI QIDQ4907124
Publication date: 4 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3804
Fractals (28A80) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Connected and locally connected spaces (general aspects) (54D05) Dimension theory in general topology (54F45)
Related Items (13)
Embedding fractals in Banach, Hilbert or Euclidean spaces ⋮ Attractors for iterated function systems ⋮ Valuation theory, generalized IFS attractors and fractals ⋮ Topological classification of scattered IFS-attractors ⋮ Embedding topological fractals in universal spaces ⋮ Detecting topological and Banach fractals among zero-dimensional spaces ⋮ Stability of multivalued attractor ⋮ The shark teeth is a topological IFS-attractor ⋮ Sums of convex compacta as attractors of hyperbolic IFS's ⋮ Counterexamples for IFS-attractors ⋮ Peano continua with self regenerating fractals ⋮ Cyclic iterated function systems ⋮ On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals. II
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