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Band sum : ウィキペディア英語版
Band sum
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 p_1\in K_1 and p_2\in K_2 such that h is attached to K_1\sqcup K_2 along p_1\sqcup p_2.
''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)
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