Last Updated
：2025/12/07
chain group
（ canonical ）
（ plural ）
Quizzes for review
(algebraic topology) A free abelian group generated by all the k-dimensional oriented simplices of a given simplicial complex.
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chain group
The boundary operator maps each k-dimensional chain group element to an element of the (k-1)-dimensional chain group, revealing cycles and boundaries in the simplicial complex.
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The boundary operator maps each k-dimensional chain group element to an element of the (k-1)-dimensional chain group, revealing cycles and boundaries in the simplicial complex.
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