(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.

Dispersed factorization structures in procategories.

TOZZI, Anna
1984-01-01

Abstract

(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.
1984
3-88538-005-6
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/39006
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