Sharpness of Rickman's Picard theorem in all dimensions

David Drasin; Pekka Pankka

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arXiv · 1304.6998

Sharpness of Rickman's Picard theorem in all dimensions

David Drasin·Pekka Pankka

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Abstract

We show that given $n\ge 3$, $q\ge 1$, 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 $y_1,\ldots, y_q$.

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David Drasin, Pekka Pankka. 2013-04-25. Sharpness of Rickman's Picard theorem in all dimensions. https://arxiv.org/abs/1304.6998

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