Last Updated
：2025/11/30
twist morphism
Noun
Japanese Meaning
カテゴリー理論におけるツイスト射。これは、同一の構成要素を持つが順序が逆になった2つの積（プロダクト）間の同型写像であり、対応する2つの積の図式が可換になるような写像を指す。
（ plural ）
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(category theory) An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams.
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twist morphism
In the proof that products are symmetric, the commutativity of the relevant product diagrams depends critically on the twist morphism that provides the isomorphism swapping the two components.
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In the proof that products are symmetric, the commutativity of the relevant product diagrams depends critically on the twist morphism that provides the isomorphism swapping the two components.
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