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ArticleOriginal scientific text

Title

Topological spaces admitting a unique fractal structure

Authors 1, 2

Affiliations

  1. Mathematics Department, Addis Ababa University D-O-2200 Greifswald, P.O. Box 1176, Addis Ababa, Ethiopia
  2. Fachbereich Mathematik, Ernst-Moritz-Arndt-Universität, Germany

Abstract

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.

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm141/fm14135.pdf

Fundamenta Mathematicae
1992/141/3
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Pages:
257-268
Main language of publication
English
Received
1991-11-11
Accepted
1992-03-17
Published
1992
Exact and natural sciences