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math.CV2019★ 1 cited
On proper branched coverings and a question of Vuorinen
Aapo Kauranen, Rami Luisto, Ville Tengvall
We study global injectivity of proper branched coverings defined on the Euclidean -ball in the case when the branch set is compact. In particular we show that such mappings are…
math.CV2017
Mappings of finite distortion: compactness of the branch set
Aapo Kauranen, Rami Luisto, Ville Tengvall
We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show t…