👉 In mathematics, a pullback is an inverse limit of pullbacks. It is a fundamental concept in category theory and homological algebra, particularly in studying functors and their properties. A pullback is a special type of fibration, which means that it is a one-to-one correspondence between the fibers (or direct images) of a morphism f: X โ Y and its inverse image under the composite morphism g: Y โ Z. In other words, a pullback is a natural