The shark teeth is a topological IFS-attractor

DOI10.1134/S0037446614020128zbMath1317.28019arXiv1305.4492OpenAlexW2003156408MaRDI QIDQ483446

Magdalena Nowak, Tomasz Szarek

Publication date: 17 December 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4492

zbMATH Keywords

iterated function systemfractaltopological iterated function system

Mathematics Subject Classification ID

Fractals (28A80) Topology of special sets defined by functions (54C50)

Related Items (10)

Embedding fractals in Banach, Hilbert or Euclidean spaces ⋮ Embedding topological fractals in universal spaces ⋮ Detecting topological and Banach fractals among zero-dimensional spaces ⋮ Stability of multivalued attractor ⋮ Homoclinic attractors in discontinuos iterated function systems ⋮ Counterexamples for IFS-attractors ⋮ Topological version of generalized (infinite) iterated function systems ⋮ On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals ⋮ Cyclic iterated function systems ⋮ On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals. II

Cites Work

• Unnamed Item
• Controlled Hahn--Mazurkiewicz Theorem and some new dimension functions of Peano continua
• On the structure of self-similar sets
• Composition of contractions
• A 1-dimensional Peano continuum which is not an IFS attractor

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