A big Picard theorem for quasiregular mappings into manifolds with many ends

Holopainen, Ilkka; Pankka, Pekka

doi:10.1090/S0002-9939-04-07599-9

A big Picard theorem for quasiregular mappings into manifolds with many ends
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by Ilkka Holopainen and Pekka Pankka PDF

Proc. Amer. Math. Soc. 133 (2005), 1143-1150 Request permission

Abstract:

We study quasiregular mappings from a punctured Euclidean ball into $n$-manifolds with many ends and prove, by using Harnack’s inequality, a version of the big Picard theorem.

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