Satellite (1,1)-knots and meridionally incompressible surfaces (Q1779228)
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scientific article; zbMATH DE number 2172997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Satellite (1,1)-knots and meridionally incompressible surfaces |
scientific article; zbMATH DE number 2172997 |
Statements
Satellite (1,1)-knots and meridionally incompressible surfaces (English)
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1 June 2005
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The author shows there is one isotopy class of closed, orientable, essential meridionally (sic) incompressible surfaces in the exterior of a satellite (1,1) knot in \(S^3\); namely, the one containing the essential torus. The (1,1)-splittings of such a knot are characterized.
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satellite knot
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incompressible surface
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essential torus
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