Last Updated：2025/11/30

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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

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Source Word

twist morphism

Noun

(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.

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。

What is this buttons?

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.

Google Translation / DeepL Translation

積が対称であることの証明において、関係する積の図式の可換性は、二つの因子を入れ替える入れ替え同型写像に大きく依存している。

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Sense（1）

(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.

twist morphisms

（ plural ）

Details

twist morphism

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