Quasiregular mappings from a punctured ball into compact manifolds

Pankka, Pekka

doi:10.1090/S1088-4173-06-00136-6

Quasiregular mappings from a punctured ball into compact manifolds
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by Pekka Pankka

Conform. Geom. Dyn. 10 (2006), 41-62

DOI: https://doi.org/10.1090/S1088-4173-06-00136-6

Published electronically: March 8, 2006

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Abstract:

We study quasiregular mappings from a punctured unit ball of the Euclidean $n$-space into compact manifolds. We show that a quasiregular mapping has a limit in the point of punctuation whenever the dimension of the cohomology ring of the compact manifold exceeds a bound given in terms of the dimension and the distortion constant of the mapping.

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