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rational tangle

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本站译名 几何拓扑与低维拓扑 义项编号TS-2252

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Symplectic Geometry 封面

《Symplectic Geometry》 · 第 96、189 页 · Section 4.9 的 trivial tangle 定义与 Section 8.1 的 rational tangle 定义

An \(n\)-tangle is trivial if it is homeomorphic to a cylinder \(D^2\times[0,1]\) containing \(n\) parallel straight lines, each connecting the top to the bottom (there are no loops in a trivial tangle). […] A rational tangle is homeomorphic to the trivial 2-tangle. This means that it can be “unwound” by sliding the endpoints around on the boundary sphere.

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