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arXiv · 2608.16471

Lipschitz surjections between self-similar sets

Attila Gáspár
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Abstract

We give a characterization of the existence of Lipschitz surjections between dust-like self-similar sets of the same dimension under the assumption that the similarity ratios are commensurable. Our results apply more generally to graph-directed fractals.

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Attila Gáspár. 2026-08-17. Lipschitz surjections between self-similar sets. https://arxiv.org/abs/2608.16471

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