ABCMabMbc±MabMbc Mab is a Morphism from A to B Mbc is a Morphism from B to C Mbc ∘ Mab is the Composition of the above functions that maps A to C It is equivalent to applying Mab, then applying Mbc It can be thought of as: Mbc follows Mab Composition is Associative →(f∘g)∘h=f∘(g∘h)