An algorithm for acylindrical surfaces in 3-manifolds (Q1598356)
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scientific article; zbMATH DE number 1744147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algorithm for acylindrical surfaces in 3-manifolds |
scientific article; zbMATH DE number 1744147 |
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An algorithm for acylindrical surfaces in 3-manifolds (English)
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13 April 2003
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The author presents an algorithm to decide if an orientable atoroidal 3-manifold contains closed incompressible acylindrical surfaces and to construct them if they exist. The algorithm uses normal surface theory. To prove that the algorithm stops after a finite number of steps, the author shows that each acylindrical surface is isotopic to an edge surface.
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3-manifolds
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incompressible surfaces
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edge surfaces
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normal surface theory
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algorithm
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0.9188381
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0.9187256
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0.9164285
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0.9018449
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