6533b7d8fe1ef96bd1269b8d

RESEARCH PRODUCT

On proper branched coverings and a question of Vuorinen

Aapo KauranenRami LuistoVille Tengvall

subject

Mathematics - Complex VariablesGeneral Mathematicseuklidinen geometriaGeometric Topology (math.GT)Euclidean geometryMathematics - Geometric TopologyMAPSFOS: Mathematics111 MathematicsHigh Energy Physics::ExperimentComplex Variables (math.CV)SETMONODROMY57M12 30C65 57M30

description

We study global injectivity of proper branched coverings from the open Euclidean n$n$-ball onto an open subset of the Euclidean n$n$-space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when n=3$n=3$ or when the branch set is empty. This gives a positive answer to the corresponding cases of a question of Vuorinen. Peer reviewed

yearjournalcountryeditionlanguage
2022-02-01
10.1112/blms.12565http://hdl.handle.net/10138/341842