Detecting topological and Banach fractals among zero-dimensional spaces

DOI10.1016/J.TOPOL.2015.09.003zbMath1332.28010arXiv1503.06396OpenAlexW1764008380MaRDI QIDQ891241

Taras Banakh, Magdalena Nowak, Filip Strobin

Publication date: 16 November 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06396

zbMATH Keywords

zero-dimensional spaceattractoriterated function systemBanach fractaltopological fractalultrafractal

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Fractals (28A80)

Related Items (7)

Embedding fractals in Banach, Hilbert or Euclidean spaces ⋮ Valuation theory, generalized IFS attractors and fractals ⋮ Attractors for classes of iterated function systems ⋮ Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems ⋮ Non-self-similar sets in \([0,1^{N}\) of arbitrary dimension] ⋮ Counterexamples for IFS-attractors ⋮ Peano continua with self regenerating fractals

Cites Work

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• IFS attractors and Cantor sets
• On the structure of self-similar sets
• A 1-dimensional Peano continuum which is not an IFS attractor
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