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Lipschitz equivalence of a class of self-similar sets. (English) Zbl 1376.28007
The notion of Lipschitz equivalence has been studied a lot during the last three decades. One of the main reasons is that Lipschitz equivalence is useful for the classification of fractal sets. The present paper deals with a class of homogeneous self-similar sets with complete overlaps. A sufficient condition for the Lipschitz equivalence between members of this class is the main result of this paper. Some interesting examples follow.

MSC:
28A80 Fractals
28A78 Hausdorff and packing measures
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