Abstract
We shall define quasiregular mappings analytically following Yu.G. Reshetnyak. At an early stage we take full advantage of Reshetnyak’s important discovery that a nonconstant quasiregular mapping is discrete and open, but put off the proof to Chapter VI. This way we are able to have a coherent geometric treatment without introducing an excessive amount of machinery at the outset. Section 1 on ACLP mappings contains fairly standard preliminary results. Discrete open mappings are considered in Section 4 as a separate topic, mostly without proofs. The material of the first chapter is primarily concerned with various aspects of the definition of quasiregularity.
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© 1993 Springer-Verlag Berlin Heidelberg
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Rickman, S. (1993). Basic Properties of Quasiregular Mappings. In: Quasiregular Mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78201-5_2
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DOI: https://doi.org/10.1007/978-3-642-78201-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78203-9
Online ISBN: 978-3-642-78201-5
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