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On the boundary connectedness of connected tiles. (English) Zbl 1070.37010

The authors deal with topological properties of ordinary as well as graph-directed iterated function systems. The main goal of this paper is to study the connectedness of the boundary of the attractor \(T\) (\(T\) is the attractor of the iterated function system) for dimensions \(d\geq 2\).

MSC:

37B99 Topological dynamics
28A80 Fractals
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