Removable singularities of locally quasiconformal maps (Q5896650)

Let \(E\subset\overline{\mathbb{R}^ n} \equiv\mathbb{R}^ n\cup\{\infty\}\) be a closed set of zero conformal capacity and \(D\) a domain in \(\mathbb{R}^ n\). Then any locally quasiconformal mapping (l.q.m.) \(f: D\setminus\to \overline{\mathbb{R}^ n}\) can be extended to a l.q.m. \(F:D\to \overline{\mathbb{R}^ n}\). The proof is carried out by modifying the work of \textit{V. A. Zorich} [Mat. Sb., n. Ser. 81(123), 634-636 (1970; Zbl 0201.098)] and that of \textit{S. Agard} and \textit{A.Marden} [Math. J. Indiana Univ. 20, 455-461 (1970; Zbl 0211.264)].