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单词 Cohomological
释义

Cohomological

英语百科

Cohomology

(重定向自Cohomological)
The first cohomology group of the 2-dimensional torus has a basis given by the classes of the two circles shown.

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology. Some versions of cohomology arise by dualizing the construction of homology. In other words, cochains are functions on the group of chains in homology theory.

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更新时间:2025/6/17 23:18:37