factor through
verb1
Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences Said of a morphism: to be equal to a composition of two morphisms, one of which is the given morphism (that is being said to be "factored through").
- LEMMA 16.3 An arrow f#58;A#92;rightarrowB is epic iff 1#95;B is the smallest sub-object of B that f factors through.1995, Colin McLarty, Elementary Categories, Elementary Toposes, page 142: