Arcwise connectedness of the boundaries of connected self-similar sets

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Let T be the attractor of injective contractions f_1,...,f_m on R^2 that satisfy the Open Set Condition. If T is connected, \partial T is arcwise connected. In particular, the boundary of the Levy dragon is arcwise connected.
6 pages, no figure

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General Topology, Classical Analysis and ODEs, 28A80 (Primary); 54F65 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66602

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302279
 http://arxiv.org/abs/math/0302279

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arXiv