Every planar set has a conformally removable subset with the same Hausdorff dimension
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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 $E$.References
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Additional Information
- Hindy Drillick
- Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794-3651
- Address at time of publication: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
- ORCID: 0000-0003-1515-9922
- Email: hdrillick@math.columbia.edu
- Received by editor(s): January 6, 2020
- Received by editor(s) in revised form: June 23, 2020
- Published electronically: December 16, 2020
- Communicated by: Jeremy Tyson
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 787-791
- MSC (2010): Primary 30C35
- DOI: https://doi.org/10.1090/proc/15243
- MathSciNet review: 4198083