Introduction to Category Theory/Pullbacks

Example in Sets

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

Properties

• preserves monos
• pullback of pullback is pullback

Related Resources

• w:Pullback (category theory)
• w:Pushout (category theory)