Topological spaces admitting a unique fractal structure

Tom 141 / 1992

Christoph Bandt, Teklehaimanot Retta Fundamenta Mathematicae 141 (1992), 257-268 DOI: 10.4064/fm_1992_141_3_1_257_268

Streszczenie

Each homeomorphism from the n-dimensional Sierpiński gasket into itself is a similarity map with respect to the usual metrization. Moreover, the topology of this space determines a kind of Haar measure and a canonical metric. We study spaces with similar properties. It turns out that in many cases, "fractal structure" is not a metric but a topological phenomenon.

Autorzy

  • Christoph BandtFachbereich Mathematik
    Ernst-Moritz-Arndt-Universität
    D-O-2200 Greifswald, Germany
  • Teklehaimanot RettaMathematics Department
    Addis Ababa University
    P.O. BOX 1176, Addis Ababa, Ethiopia

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