Quasiregular Values and Rickman’s Picard Theorem

Ilmari Kangasniemi, Jani Onninen

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
JournalGeometric and Functional Analysis
StateAccepted/In press - 2024


  • Picard theorem
  • Quasiregular maps
  • Quasiregular values
  • Rickman’s Picard theorem

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


Dive into the research topics of 'Quasiregular Values and Rickman’s Picard Theorem'. Together they form a unique fingerprint.

Cite this