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arxiv: 1912.00301 · v1 · pith:BTNEI7PP · submitted 2019-12-01 · math.CV

Every Planar Set has a Conformally Removable Subset with the Same Hausdorff Dimension

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classification math.CV
keywords subsetconformallydimensionhausdorffremovablesamealwayscompact
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In this paper we show that given any compact set $E \subset \hat{\mathbb{C}}$, we can always find a conformally removable subset with the same Hausdorff dimension as $E$.

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