Bounded turning circles are weak-quasicircles

preprint2010arXivOpen access

Abstract

We show that a metric Jordan curve ΓΓ is \emph{bounded turning} if and only if there exists a \emph{weak-quasisymmetric} homeomorphism ϕ ⁣:S1→Γϕ\colon \mathsf{S}^1 \to Γ.

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