Epimorphism Split epimorphism A split epimorphism is a morphism with a preïnverse or section , cat so that . Note that is necessarily an epimorphism, and has the dual property of being a Split monomorphism. Furthermore need not be unique. Properties Let be a split epimorphism with section is the coëqualizer of and , hence it is regularly epic. See dual Properties. See also Split extension External Axiom of Choice tidy | en | sembr