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Quasiconformal characterization of Schottky sets

math.CV · 2025-07-30 · unverdicted · novelty 8.0

Proves an if-and-only-if quasiconformal characterization of Schottky sets on the sphere that applies to Sierpiński carpets and gaskets and generalizes Bonk's carpet result without uniform relative separation.

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  • Quasiconformal characterization of Schottky sets math.CV · 2025-07-30 · unverdicted · none · ref 9

    Proves an if-and-only-if quasiconformal characterization of Schottky sets on the sphere that applies to Sierpiński carpets and gaskets and generalizes Bonk's carpet result without uniform relative separation.