9 citations · 15 across the 9 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
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.MG2017
A Newman property for BLD-mappings
Rami Luisto
We define a Newman property for BLD-mappings and study its connections to the porosity of the branch set in the setting of generalized manifolds equipped with complete path metrics…
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…