On false branch points of incompressible branched immersions
We prove that a branched immersion of a surface with boundary into a differentiable manifold has no false branch points (in fact, no ramified points) if the immersion induces an isomorphism of fundamental groups and some other natural hypotheses are satisfied. This result has immediate applications...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 1989
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| In: |
Manuscripta mathematica
Year: 1989, Volume: 63, Issue: 3, Pages: 293-302 |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/BF01168372 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF01168372 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007/BF01168372 
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| Author Notes: | Robert Gulliver and Friedrich Tomi |
| Summary: | We prove that a branched immersion of a surface with boundary into a differentiable manifold has no false branch points (in fact, no ramified points) if the immersion induces an isomorphism of fundamental groups and some other natural hypotheses are satisfied. This result has immediate applications to Plateau's problem. |
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| Item Description: | Gesehen am 25.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/BF01168372 |