Dispersed factorization structures in procategories.

(E,M)-factorisation structures on C with respect to ProC, where C is any categoty, are defined. It is found that there is bijection between the class of all factorisation structures of that kind and the class of all pro-reflecive subcategories. Furthermore, if (E,M) is a fixed factorisation structure on C w.r.t. ProC, an (E,M)-dispersed factorisation structure is defined and characterised so that there is a bijection between all E-proreflective subcategories of C and the class of all (E,M)-dispersed factorisation structures w.r.t. ProC.