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单词 Cobordism theory
释义

Cobordism theory

英语百科

Cobordism

(重定向自Cobordism theory)
A cobordism (W; M, N).
 A cobordism between a single circle (at the top) and a pair of disjoint circles (at the bottom).
Fig. 1
Fig. 2a

In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French bord, giving cobordism) of a manifold. Two manifolds of the same dimension are cobordant if their disjoint union is the boundary of a compact manifold one dimension higher.

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