6533b85bfe1ef96bd12bbf4a
RESEARCH PRODUCT
Sharpness of Rickman’s Picard theorem in all dimensions
Pekka PankkaDavid Drasinsubject
Distortion (mathematics)Discrete mathematicsRickman’s Picard theoremGeneral Mathematicsquasiregular mappingsFinite setPicard theoremMathematics30C65description
We show that given \({n \geqslant 3}\), \({q \geqslant 1}\), and a finite set \({\{y_1, \ldots, y_q \}}\) in \({\mathbb{R}^n}\) there exists a quasiregular mapping \({\mathbb{R}^n\to \mathbb{R}^n}\) omitting exactly points \({y_1, \ldots, y_q}\).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |