配边
在数学中,配边(英文:cobordism 来自法文的 bord)是紧流形的等价关系。它使用边界的拓扑概念。若两个流形M和N的不交并是另一个流形W的边界,那么M和N这两个流形是配边的。此外M和N的配边是W:
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例子
最简单的例子是区间 I =[0,1]。这是 {0}和{1}这两个0-维流形的1-维配边。
如果M 是圆,N是两个圆, 那么M 和 N 的不交并是pair of pants(W)的边界。所以pair of pants是M和N的配边。
脚注
- 若M和N是维的,则W是维的,而且这是维的配边。
参考文献
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