Dispersed Factorization Structures
1979 ◽
Vol 31
(5)
◽
pp. 1059-1071
◽
Keyword(s):
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 factorizationstructures of 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.
2017 ◽
Vol 7
(1.1)
◽
pp. 88
Keyword(s):