Geodesic
The continuously removable sets for quasiconformal mappings
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 213-220 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $D$ be a domain in the $n$-dimensional Euclidean space $R^n$, $n\geqslant 2$, and let $E$ be a compact in $D$. The paper presents conditions on the compact $E$ under which any homeomorphic mapping $f\colon D\setminus E\rightarrow R^n$ can be extended to a continuous mapping $f\colon D\rightarrow\bar{R}^n=R^n\cup\{\infty\}$. These conditions define the class of NCS-compacts, which, for $n=2$, coincides with the class of topologically removable compacts for conformal and quasiconformal mappings. 
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     author = {A. V. Tyutyuev and V. A. Shlyk},
     title = {The continuously removable sets for quasiconformal mappings},
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     year = {2004},
     volume = {314},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a12/}
}
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A. V. Tyutyuev; V. A. Shlyk. The continuously removable sets for quasiconformal mappings. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 213-220. http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a12/

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