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arXiv · 1904.12645

On proper branched coverings and a question of Vuorinen

Aapo Kauranen·Rami Luisto·Ville Tengvall
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Abstract

We study global injectivity of proper branched coverings defined on the Euclidean $n$-ball in the case when the branch set is compact. In particular we show that such mappings are homeomorphisms when $n=3$ or when the branch set is empty. This proves the corresponding cases of a question of Vuorinen from [Vuo79].

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Aapo Kauranen, Rami Luisto, Ville Tengvall. 2019-04-29. On proper branched coverings and a question of Vuorinen. https://doi.org/10.1112/blms.12565

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