Sharpness of Rrickman's Picard theorem in all dimensions

DOI10.1007/s11511-015-0125-xzbMath1326.30025arXiv1304.6998OpenAlexW1851340126WikidataQ56807201 ScholiaQ56807201MaRDI QIDQ493512

David Drasin, Pekka Pankka

Publication date: 3 September 2015

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6998

zbMATH Keywords

quasiregular mappingsPicard's theoremmappings of bounded length distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (11)

Topological barriers for locally homeomorphic quasiregular mappings in 3-space ⋮ Weak BLD mappings and Hausdorff measure ⋮ Quasiregular mappings on sub-Riemannian manifolds ⋮ The fast escaping set for quasiregular mappings ⋮ Monodromy representations of completed coverings ⋮ Bing meets Sobolev ⋮ On BLD-mappings with small distortion ⋮ The Rickman–Picard theorem ⋮ The dynamics of quasiregular maps of punctured space ⋮ A bound on the cohomology of quasiregularly elliptic manifolds ⋮ Quasiregular curves of small distortion in product manifolds

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• Unions of John domains

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