Abstract
Consider two objects associated to the Iterated Function System (IFS) : the locus of parameters for which the corresponding attractor is connected; and the locus of parameters for which the related attractor contains 0. The set can also be characterized as the locus of parameters for which the attractor of the IFS contains . Exploiting the asymptotic similarity of and with the respective associated attractors, we give sufficient conditions on or to guarantee it is path accessible from the complement .
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