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词汇 Diagonal functor
分类 英语词汇 英语翻译词典
释义

Diagonal functor

英语百科

Diagonal functor

In category theory, a branch of mathematics, the diagonal functor \mathcal{C} \rightarrow \mathcal{C} \times \mathcal{C} is given by \Delta(a) = \langle a,a \rangle, which maps objects as well as morphisms. This functor can be employed to give a succinct alternate description of the product of objects within the category \mathcal{C}: a product a \times b is a universal arrow from \Delta to \langle a,b \rangle. The arrow comprises the projection maps.

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