On reducible Dehn surgery (Q2732384)
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scientific article; zbMATH DE number 1623635
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On reducible Dehn surgery |
scientific article; zbMATH DE number 1623635 |
Statements
13 November 2001
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cabling conjecture
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cable knot
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On reducible Dehn surgery (English)
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The author proves that for a certain class of knots, which includes, for example, all knots \(K\) which are a union of two nonsplitting tangles, the cabling conjecture is true. This conjecture states that, if the manifold obtained by Dehn surgery on a knot \(K\) in the 3-sphere is reducible, then \(K\) is a cable knot.
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