Every planar set has a conformally removable subset with the same Hausdorff dimension

Drillick, Hindy

doi:10.1090/proc/15243

Every planar set has a conformally removable subset with the same Hausdorff dimension
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by Hindy Drillick PDF

Proc. Amer. Math. Soc. 149 (2021), 787-791 Request permission

Abstract:

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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