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Journal of Mathematical Sciences

, Volume 133, Issue 6, pp 1728–1732 | Cite as

Continuously Removable Sets for Quasiconformal Mappings

  • A. V. Tyutyuev
  • V. A. Shlyk
Article
  • 15 Downloads

Abstract

Let D be a domain in the n-dimensional Euclidean space Rn, n ≥ 2, and let E be a compact in D. The paper presents conditions on the compact E under which any homeomorphic mapping f = D ∖ E → Rn can be extended to a continuous mapping f = D → R¯n = Rn ⋃ {∞}. 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. Bibliography: 11 titles.

Keywords

Continuous Mapping Euclidean Space Quasiconformal Mapping Homeomorphic Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. V. Tyutyuev
    • 1
  • V. A. Shlyk
    • 1
  1. 1.Far-Eastern State UniversityVladivostockRussia

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