Weak separation in self-similar fractals

Manav Das
Department of Mathematics
University of Louisville
Louisville, KY 40292   U.S.A.     
manav@louisville.edu

 
G. A. Edgar
Department of Mathematics
The Ohio State University
Columbus, OH 43210   U.S.A.     
edgar@math.ohio-state.edu

(Version of August, 2008)

Abstract

We consider the "weak separation property" for graph-directed iterated function systems of similitudes in Euclidean space. The formulations that are known to be equivalent in the case of strongly connected graph are, in general, no longer equivalent when the graph is not strongly connected.

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