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arxiv: 1101.1219 · v3 · pith:25L5D2JZnew · submitted 2011-01-06 · 🧮 math.MG

On critical values of self-similar sets

classification 🧮 math.MG
keywords criticalself-similarvaluessetsconditionconstructcountablyimplies
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In the paper we study properties of the set of critical points for self-similar sets. We introduce simple condition that implies at most countably many critical values and we construct a self-similar set with uncountable set of critical values.

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