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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…
math.CV2017
Stoïlow's theorem revisited
Rami Luisto, Pekka Pankka
Stoïlow's theorem from 1928 states that a continuous, open, and light map between surfaces is a discrete map with a discrete branch set. This result implies that such maps between…