Properties
The category Cat has a forgetful functor U into the quiver category Quiv:
- U : Cat → Quiv
This functor forgets the identity morphisms of a given category, and it forgets morphism compositions. The left adjoint of this functor is a functor F taking Quiv to the corresponding free categories:
- F : Quiv → Cat
Read more about this topic: Category Of Small Categories
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—John Locke (1632–1704)
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