On proper branched coverings and a question of Vuorinen
Kauranen, A., Luisto, R., & Tengvall, V. (2022). On proper branched coverings and a question of Vuorinen. Bulletin of the London Mathematical Society, 54(1), 145-160. https://doi.org/10.1112/blms.12565
Julkaistu sarjassa
Bulletin of the London Mathematical SocietyPäivämäärä
2022Tekijänoikeudet
© 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
We study global injectivity of proper branched coverings from the open Euclidean 𝑛 -ball onto an open subset of the Euclidean 𝑛 -space in the case where 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 gives a positive answer to the corresponding cases of a question of Vuorinen.
Julkaisija
Oxford University PressISSN Hae Julkaisufoorumista
0024-6093Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/103461722
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Euroopan komissio; Suomen AkatemiaRahoitusohjelmat(t)
Tutkijatohtori, SA; Akatemiatutkija, SA
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Lisätietoja rahoituksesta
A.K. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through the “Maríía de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0445) and MTM-2016-77635-P (MICINN, Spain) and Academy of Finland, project number 322441. R.L. was partially supported by the Academy of Finland (grant 288501 “Geometry of subRiemannian groups”) and by the European Research Council (ERC Starting Grant 713998 GeoMeG “Geometry of Metric Groups”). The research of V.T. was supported by the Academy of Finland, project number 308759. ...Lisenssi
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