Closed category

In category theory, a branch of mathematics, a closed category is a special kind of category.

In a locally small category, the external hom (x, y) takes two objects to the set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein, in a closed category, the morphisms from one object to another can be seen as lying inside the category. This is the internal hom [x,y].

单词	Closed category
释义	Closed category 英语百科 Closed category In category theory, a branch of mathematics, a closed category is a special kind of category. In a locally small category, the external hom (x, y) takes two objects to the set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein, in a closed category, the morphisms from one object to another can be seen as lying inside the category. This is the internal hom [x,y].
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