Quasiregular Values and Rickman’s Picard Theorem

Ilmari Kangasniemi; Jani Onninen

doi:10.1007/s00039-024-00674-x

Quasiregular Values and Rickman’s Picard Theorem

Ilmari Kangasniemi, Jani Onninen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a far-reaching generalization of Rickman’s Picard theorem for a surprisingly large class of mappings, based on the recently developed theory of quasiregular values. Our results are new even in the planar case.

Original language	English (US)
Pages (from-to)	1533-1579
Number of pages	47
Journal	Geometric and Functional Analysis
Volume	34
Issue number	5
DOIs	https://doi.org/10.1007/s00039-024-00674-x
State	Published - Oct 2024

Keywords

Picard theorem
Quasiregular maps
Quasiregular values
Rickman’s Picard theorem

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.1007/s00039-024-00674-x

Cite this

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abstract = "We prove a far-reaching generalization of Rickman{\textquoteright}s Picard theorem for a surprisingly large class of mappings, based on the recently developed theory of quasiregular values. Our results are new even in the planar case.",

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author = "Ilmari Kangasniemi and Jani Onninen",

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Quasiregular Values and Rickman’s Picard Theorem

Abstract

Keywords

ASJC Scopus subject areas

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