Geodesic
Dispersed Factorization Structures
Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 1059-1071

Voir la notice de l'article provenant de la source Cambridge University Press

Factorization structures on a category form a useful categorical tool. As is known, any , satisfying suitable completeness—and smallness—conditions, has a sufficient supply of factorization structures; in fact, there is a bijection between the class of all epireflective (full and isomorphism- closed) subcategories of and the class of all so called perfect factorizationstructuresof In this paper, for an arbitrary category supplied with a fixed factorization structure (E, M), a similar bijection between the class of all E-reflective (full and isomorphism-closed) subcategories of and the class of all (E, M)-dispersed factorization structures on , introduced in this paper, will be established. 
Herrlich, H.; Salicrup, G.; Vazquez, R. Dispersed Factorization Structures. Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 1059-1071. doi: 10.4153/CJM-1979-097-7
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