Last Updated
：2025/12/07
homology group
Noun
Japanese Meaning
（代数的位相幾何学）与えられた単体複体などから導出される鎖複体において、第kサイクル群を第k境界群で割った商群。
（ canonical ）
（ plural ）
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(algebraic topology) The quotient group of the kth cycle group modulo the kth boundary group (derived from the chain complex of, e.g., a given simplicial complex).
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homology group
To compute the homology group of a simplicial complex, one forms the quotient of the k-th cycle group by the k-th boundary group derived from its chain complex.
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To compute the homology group of a simplicial complex, one forms the quotient of the k-th cycle group by the k-th boundary group derived from its chain complex.
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