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Construction of Quasiregular Mappings

In: Quasiconformal Mappings and Analysis

Author

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  • Seppo Rickman

    (University of Helsinki, Department of Mathematics)

Abstract

Quasiregular mappings were introduced and studied by Yu. G. Reshetnyak in a series of articles that began to appear in 1966. Reshetnyak used the term “mappings with bounded distortion” and defined them by means of the so called analytic definition of quasiconformal mappings leaving out the homeomorphism requirement. One of Reshetnyak’s main result in the theory is that, if not constant, a quasiregular mapping is discrete and open. This means that such mappings are branched covers in a general sense.

Suggested Citation

  • Seppo Rickman, 1998. "Construction of Quasiregular Mappings," Springer Books, in: Peter Duren & Juha Heinonen & Brad Osgood & Bruce Palka (ed.), Quasiconformal Mappings and Analysis, pages 337-345, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0605-7_19
    DOI: 10.1007/978-1-4612-0605-7_19
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