On proper branched coverings and a question of Vuorinen

We study global injectivity of proper branched coverings from the open Euclidean [Formula: see text] ‐ball onto an open subset of the Euclidean [Formula: see text] ‐space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when [Formula: see text...

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Detalles Bibliográficos
Autores principales: Kauranen, Aapo, Luisto, Rami, Tengvall, Ville
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2022
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9311082/
https://www.ncbi.nlm.nih.gov/pubmed/35910073
http://dx.doi.org/10.1112/blms.12565
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author Kauranen, Aapo
Luisto, Rami
Tengvall, Ville
author_facet Kauranen, Aapo
Luisto, Rami
Tengvall, Ville
author_sort Kauranen, Aapo
collection PubMed
description We study global injectivity of proper branched coverings from the open Euclidean [Formula: see text] ‐ball onto an open subset of the Euclidean [Formula: see text] ‐space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when [Formula: see text] or when the branch set is empty. This gives a positive answer to the corresponding cases of a question of Vuorinen.
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spelling pubmed-93110822022-07-29 On proper branched coverings and a question of Vuorinen Kauranen, Aapo Luisto, Rami Tengvall, Ville Bull Lond Math Soc Research Articles We study global injectivity of proper branched coverings from the open Euclidean [Formula: see text] ‐ball onto an open subset of the Euclidean [Formula: see text] ‐space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when [Formula: see text] or when the branch set is empty. This gives a positive answer to the corresponding cases of a question of Vuorinen. John Wiley and Sons Inc. 2022-03-04 2022-02 /pmc/articles/PMC9311082/ /pubmed/35910073 http://dx.doi.org/10.1112/blms.12565 Text en © 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Articles
Kauranen, Aapo
Luisto, Rami
Tengvall, Ville
On proper branched coverings and a question of Vuorinen
title On proper branched coverings and a question of Vuorinen
title_full On proper branched coverings and a question of Vuorinen
title_fullStr On proper branched coverings and a question of Vuorinen
title_full_unstemmed On proper branched coverings and a question of Vuorinen
title_short On proper branched coverings and a question of Vuorinen
title_sort on proper branched coverings and a question of vuorinen
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9311082/
https://www.ncbi.nlm.nih.gov/pubmed/35910073
http://dx.doi.org/10.1112/blms.12565
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