Mardesic introduced the concept of pro-reflective (dense) subcategory of a category C in order to define a categorical shape theory for topological spaces. Following the results obtained by the author introducing the (E,M)-factorisation structure on C w.r.t ProC, it is given a characterisation of those classes M for which there exists the class E in the ProC morphisms such that the pair (E,M) is a factorisation structure on C w.r.t. ProC
On characterization of (E,M)-structures in procategories,
TOZZI, Anna
1984-01-01
Abstract
Mardesic introduced the concept of pro-reflective (dense) subcategory of a category C in order to define a categorical shape theory for topological spaces. Following the results obtained by the author introducing the (E,M)-factorisation structure on C w.r.t ProC, it is given a characterisation of those classes M for which there exists the class E in the ProC morphisms such that the pair (E,M) is a factorisation structure on C w.r.t. ProCFile in questo prodotto:
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