13 lines
441 B
Markdown
13 lines
441 B
Markdown
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Category of Functors
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If \\(\\C\\) is _small_ (\\(\\hom{\\C}\\) is a set).
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All functors from \\(\\C\\) to some category \\(\\D\\)
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form the category \\(\\mathrm{Func}(\\C,\\D)\\).
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- \\(\\ob{\\mathrm{Func}(\\C,\\D)}\\): Functors \\(F:\\C→\\D\\)
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- \\(\\hom{\\mathrm{Func}(\\C,\\D)}\\): _natural transformations_
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- ∘: Functor composition
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\\(\\mathrm{Func}(\\C,\\C)\\) is the category of endofunctors of \\(\\C\\).
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