Last Updated
：2025/11/27
cap product
Noun
Japanese Meaning
位相幾何学における演算で、p次数のチェーンとq次数のコチェーン（ただしq ≤ p）を結合し、p − qの次数を持つ新たなチェーンを生成する方法を指す。
（ plural ）
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(topology) A method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q.
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cap product
To compute the effect of the cycle on cohomology, we applied the cap product to the fundamental class and obtained a lower-dimensional homology class.
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To compute the effect of the cycle on cohomology, we applied the cap product to the fundamental class and obtained a lower-dimensional homology class.
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