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ribbon knot

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本站译名 几何拓扑与低维拓扑 义项编号TS-2255

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La science et l'hypothèse 封面

《La science et l'hypothèse》 · 第 210 页 · Section 6.2,Definition 6.2.3 中 ribbon surface、ribbon disk 与 ribbon knot 的定义

A smooth surface \((F,\partial F)\subset(D^4,S^3)\) is called a ribbon surface (or ribbon disk if \(F\approx D^2\)) if it can be isotoped (with \(\partial F\subset S^3\)) so that the height function \(D^4=I\times D^3\to I\) induces a handle decomposition without 2-handles (and \(\partial F\subset\{1\}\times D^3\)). Boundaries of ribbon disks are called ribbon knots, and similarly, ribbon links bound ribbon surfaces which are disjoint unions of disks.

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