Geodesic
On the invariance of compacts generating normal ring open sets under quasiisometries
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 23, Tome 357 (2008), pp. 46-53

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The problem of breakage and synthesis of normal ring open sets is considered. The invariance of compacts generating these sets by quasi-isometries and quasiconformal mappings is established under certain natural assumptions. Bibl. – 5 titles. 
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     author = {I. N. Demshin and V. A. Shlyk},
     title = {On the invariance of compacts generating normal ring open sets under quasiisometries},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {46--53},
     publisher = {mathdoc},
     volume = {357},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_357_a3/}
}
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I. N. Demshin; V. A. Shlyk. On the invariance of compacts generating normal ring open sets under quasiisometries. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 23, Tome 357 (2008), pp. 46-53. http://geodesic.mathdoc.fr/item/ZNSL_2008_357_a3/