Arcwise connectedness of the boundaries of connected self-similar sets

Details Arcwise connectedness of the boundaries of connected self-similar sets Arcwise connectedness of the boundaries of connected self-similar sets

2003-02-24

arxiv.org/abs/math/0302279v1

Mathematics

General Topology

6 pages, no figure

Scientific paper

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.

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