Question

Define the identity functor from a category to that same category. What do you suppose is meant by equivalent categories?

   Define the identity functor from a category to that same category. What do you suppose is meant by equivalent categories?
 
Mathematical physics
Mathematical physics
Robert Geroch 1st Edition
Chapter 17, Problem 106 ↓

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A category consists of objects and morphisms (arrows) between these objects that satisfy two main properties: composition and identity. For any object, there is an identity morphism, and morphisms can be composed associatively.  Show more…

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Define the identity functor from a category to that same category. What do you suppose is meant by equivalent categories?
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