Topological spaces admitting a unique fractal structure
Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 257-268
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_fm_141_3_257_268,
author = {Christoph Bandt and Teklehaimanot Retta},
title = {Topological spaces admitting a unique fractal structure},
journal = {Fundamenta Mathematicae},
pages = {257--268},
publisher = {mathdoc},
volume = {141},
number = {3},
year = {1992},
doi = {10.4064/fm-141-3-257-268},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-141-3-257-268/}
}
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Christoph Bandt; Teklehaimanot Retta. Topological spaces admitting a unique fractal structure. Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 257-268. doi: 10.4064/fm-141-3-257-268
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