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I'm stuck on #30. I'm supposed to describe the morphisms of the functor category C"(square), but I'm not really understanding how the...

Category Theory Question: Please include detailed answer... more explanation in picture. ThanksScreen Shot 2018-04-04 at 12.12.52 AM.png

Screen Shot 2018-04-04 at 12.12.52 AM.png

I'm stuck on #30. I'm supposed to describe the morphisms of the functor category C"(square), but I'm not
really understanding how the objects are commuting squares and I know the morphisms are the natural
transformations between the functors, but I not sure what that is in this case. Please be detailed in work.
I'm in abstract algebra and my class is getting a quick intro to category theory without very clear notes, so
I'm a little shaky on some concepts. 1.4.9.7 The category of commuting squares
Consider the category with four objects 00, 01, 10, and 11, and just five morphisms
00 L, 01 A
l- «a 10—511
J. Denote this category by El. Objects of CD are commuting squares in 8. Exercise 30 Describe morphisms in 8'].

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1 comment
  • Awesome. Thank you for clarifying.
    • ktlamarhorn
    • Apr 04, 2018 at 10:00am

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