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When the Weak Separation Condition implies the Generalized Finite Type Condition
Published 11 Feb 2020 in math.DS and math.MG | (2002.04575v2)
Abstract: We prove that an iterated function system of similarities on $\mathbb{R}$ that satisfies the weak separation condition and has an interval as its self-similar set satisfies the stronger generalized finite type condition. It is unknown if the assumption that the self-similar set is an interval is necessary.
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