Extending immersed circles in the sphere to immersed disks in the ball (Q1195946)
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scientific article; zbMATH DE number 86172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extending immersed circles in the sphere to immersed disks in the ball |
scientific article; zbMATH DE number 86172 |
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Extending immersed circles in the sphere to immersed disks in the ball (English)
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11 January 1993
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The author considers a general position immersion of a circle into the 2- sphere with an even number of double points. Then between all immersions of the 2-disk in the 3-ball having the given curve as boundary, there is one with a minimum number of triple points. This minimum is obtained algorithmically in terms of a number that is associated to the Gauss word defined by the double point set of the immersed circle.
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general position immersion of a circle into the 2-sphere with an even number of double points
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immersions of the 2-disk in the 3-ball
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triple points
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