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词汇 Final functor
分类 英语词汇 英语翻译词典
释义

Final functor

英语百科

Final functor

In Category theory, the notion of final functor (resp., initial functor) is a generalization of the notion of final object (resp., initial object) in a category.

A functor F: C\to D is called final if, for any set-valued functor G: D\to Set, the colimit of G is the same as the colimit of G\circ F. Note that an object d∈Ob(D) is a final object in the usual sense if and only if the functor \{*\}\xrightarrow{d}D is a final functor as defined here.

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