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In geometric topology, a band sum of two ''n''-dimensional knots ''K''1 and ''K''2 along an (''n'' + 1)-dimensional 1-handle ''h'' called a ''band'' is an ''n''-dimensional knot ''K'' such that: * There is an (''n'' + 1)-dimensional 1-handle ''h'' connected to (''K''1, ''K''2) embedded in ''S''''n''+2. * There are points and such that is attached to along . ''K'' is the ''n''-dimensional knot obtained by this surgery. A band sum is thus a generalization of the usual connected sum of knots. ==See also== *Manifold decomposition 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「Band sum」の詳細全文を読む スポンサード リンク
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