On the finiteness of higher knot sums (Q1091641)
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scientific article; zbMATH DE number 4011443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the finiteness of higher knot sums |
scientific article; zbMATH DE number 4011443 |
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On the finiteness of higher knot sums (English)
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1987
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This paper settles a long-standing problem in high-dimensional knot theory by showing that every \(n\)-knot (n\(\geq 3)\) decomposes as a sum of irreducible knots, and that for a given knot there is a finite upper bound on the number of summands. The proof is a beautiful application of the theory of groups acting on trees.
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decompositions of the knot group
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n-knot
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sum of irreducible knots
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upper bound on the number of summands
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groups acting on trees
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0.89856076
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0.8955112
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0.8896002
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0.88670653
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