Construction of Quasiregular Mappings

Seppo Rickman ()
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Seppo Rickman: University of Helsinki, Department of Mathematics

A chapter in Quasiconformal Mappings and Analysis, 1998, pp 337-345 from Springer

Abstract: 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.

Keywords: Hausdorff Dimension; Carnot Group; Defect Relation; Quasiregular Mapping; Complex Analytic Function (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0605-7_19

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DOI: 10.1007/978-1-4612-0605-7_19

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