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Final functor
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Final functor : ウィキペディア英語版
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 \\xrightarrowD is a final functor as defined here.
The notion of initial functor is defined as above, replacing ''final'' by ''initial'' and ''colimit'' by ''limit''.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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