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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク ribbon knot ： ウィキペディア英語版 ribbon knot In the mathematical area of knot theory, a ribbon knot is a knot that bounds a self-intersecting disk with only ''ribbon singularities''. Intuitively, this kind of singularity can be formed by cutting a slit in the disk and passing another part of the disk through the slit. More formally, this type of singularity is a self-intersection along an arc; the preimage of this arc consists of two arcs in the disc, one completely in the interior of the disk and the other having its two endpoints on the disk boundary. ==Morse-theoretic formulation== A slice disc ''M'' is a smoothly embedded $D^2$ in $D^4$ with $M\; \backslash cap\; \backslash partial\; D^4\; =\; \backslash partial\; M\; \backslash subset\; S^3$. Consider the function $f\; :\; D^4\; \backslash to\; \backslash mathbb\; R$ given by $f(x,y,z,w)\; =\; x^2+y^2+z^2+w^2$. By a small isotopy of ''M'' one can ensure that ''f'' restricts to a Morse function on ''M''. One says $\backslash partial\; M\; \backslash subset\; \backslash partial\; D^4\; =\; S^3$ is a ribbon knot if $f\_\; :\; M\; \backslash to\; \backslash mathbb\; R$ has no interior local maxima. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「ribbon knot」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.