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Introduction to Category Theory/Pullbacks

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Example in Sets

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Pullback of two functions.
Detail of pullback magnified.

Sometimes a picture tells more than thousand words. In category of sets, 3 sets {a,b,c,d,e,f,g}, {1,2,3,4,5}, {v,w,x,y,z}, 2 function

Pullback

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Definition

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Properties

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  • preserves monos
  • pullback of pullback is pullback

Limit notation

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