Quasiregular values and Rickman's Picard theorem
Complex Variables
2025-05-16 v2
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.
Cite
@article{arxiv.2303.17653,
title = {Quasiregular values and Rickman's Picard theorem},
author = {Ilmari Kangasniemi and Jani Onninen},
journal= {arXiv preprint arXiv:2303.17653},
year = {2025}
}
Comments
v2 fixes an issue caused by an error in another paper (see Section 6.3) and makes other minor improvements to the text. Main results are unchanged from v1. 40 pages, 2 figures