%0 Journal Article
%T Self-Similar Jordan Arcs Which Do Not Satisfy OSC
%A Andrey Tetenov
%A Kirill Kamalutdinov
%A Dmitry Vaulin
%J Mathematics
%D 2015
%I arXiv
%X It was proved in 2007 by C.Bandt and H.Rao that if a system $S = \{S_1 , ..., S_m \}$ of contraction similarities in $R^2$ with a connected attractor $K$ has the finite intersection property, then it satisfies OSC. We construct a self-simiilar Jordan arc in $R^3$, defined by a system $S$ , which does not satisfy OSC and at the same time has one-point intersection property.
%U http://arxiv.org/abs/1512.00290v1