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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] I. N. Demshin, V. A. Shlyk, “Metricheskie kharakteristiki prostranstvennykh koltsevykh oblastei s radialnymi razrezami, normalnykh v smysle Grëtsha”, Zap. nauchn. semin. POMI, 350, POMI, SPb., 2007, 17–25 | MR

[2] V. M. Goldshtein, Yu. G. Reshetnyak, Vvedenie v teoriyu funktsii s obobschënnymi proizvodnymi i kvazikonformnye otobrazheniya, Nauka, M., 1983 | MR

[3] A. V. Sychëv, Moduli i prostranstvennye kvazikonformnye otobrazheniya, Nauka, Novosibirsk, 1983 | Zbl

[4] K. Oikawa, L. Sario, Capacity functions, Springer, Berlin, 1969 | MR | Zbl

[5] M. Sakai, “On extremal sets of parallel slits”, Hiroshima Math. J., 5:3 (1975), 494–516 | MR