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Metric surfaces and conformally removable sets in the plane

Ntalampekos, Dimitrios
arXiv (All) · Papers
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30c62complex-variablesmetric-geometryprimary-30l10
We characterize conformally removable sets in the plane with the aid of the recent developments in the theory of metric surfaces. We prove that a compact set in the plane is $S$-removable if and only if there exists a quasiconformal map from the plane onto a metric surface that maps the given set to
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