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arxiv: 0909.1928 · v1 · pith:MPE2DJLZnew · submitted 2009-09-10 · 🧮 math.MG

Lipschitz equivalence of subsets of self-conformal sets

classification 🧮 math.MG
keywords lipschitzself-conformalsetssubsetsbilipschitzconditionsequivalenceequivalent
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We give sufficient conditions to guarantee that if two self-conformal sets E and F have Lipschitz equivalent subsets of positive measure, then there is a bilipschitz map of E into, or onto, F.

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