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slice knot

切片纽结

本站译名 几何拓扑与低维拓扑 义项编号TS-2259

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Mathematical Physics: Classical Mechanics 封面

《Mathematical Physics: Classical Mechanics》 · 第 86 页 · Chapter 8,Definition 8.11 及 flat 的邻域条件(拓扑切片义)

A knot \(K\subset S^3\) is a slice knot if there is a flat disc \(D\) contained in \(B^4\) such that \(K=\partial D=D\cap S^3\). Such a disc is called a slicing disc for \(K\). Here “flat” means that \(D\) has a neighbourhood \(N\) that is a copy of \(D\times I^2\) meeting \(S^3\) in \(\partial D\times I^2\) (of course, \(I^2=I\times I\), and this is just another disc).

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