Last Updated：2025/12/07

Dictionary quizzes to help you remember vocabulary

Dictionary quizzes to help you remember vocabulary

(algebraic topology) A homomorphism that operates on the kth boundary element.

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boundary homomorphism

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Source Word

boundary homomorphism

(algebraic topology) A homomorphism that operates on the kth boundary element.

Japanese Meaning

代数トポロジーの文脈で、k番目（あるいは任意の特定の次元）の境界要素に作用するホモモルフィズム、すなわち境界要素からの情報を伝達する写像。

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Google Translation / DeepL Translation

複体のホモロジー群を計算するために、各k鎖に境界準同型を適用し、その像がサイクルであるかを調べた。

Sense（1）

(algebraic topology) A homomorphism that operates on the kth boundary element.

Sense（2）

In a simplicial chain complex: A group homomorphism induced by mapping each oriented k-simplex to a formal sum with alternating signs of the oriented (k − 1)-simplices which are faces of the said k-simplex.

kth boundary homomorphism

（ canonical ）

boundary homomorphisms

（ plural ）

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