Let C be an epireflective subcategory of a topological (or initially structured) category A and for any cardinal number alfa, let C(alfa) be the class of objects X of C such that the cardinality of the set UX is less or equal to alfa. We prove that we can associate to C a class C of A-objects such that for any alfa there exists Y-alfa in K with the property that each Y in C(alfa) is Y-alfa initial w.r.t. (U(A(Y,Y-alfa)), UY-alfa).
On systems of cogenerators of epireflective subcategories
TOZZI, Anna
1983-01-01
Abstract
Let C be an epireflective subcategory of a topological (or initially structured) category A and for any cardinal number alfa, let C(alfa) be the class of objects X of C such that the cardinality of the set UX is less or equal to alfa. We prove that we can associate to C a class C of A-objects such that for any alfa there exists Y-alfa in K with the property that each Y in C(alfa) is Y-alfa initial w.r.t. (U(A(Y,Y-alfa)), UY-alfa).File in questo prodotto:
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