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- W2092096481 abstract "For a quotient-reflective subcategory A of the category Topof topological spaces the following «diagonal theorem» is proved: a topological space (X,τ)belongs to A iff the diagonal Δx is (τ×τ) A -closed, where, for (X, ρ) ε Top, σA denotes the coarsest topology on X which has as closed subsets all the equalizers of pairs of continuous maps with codomain in A.Furthermore an explicit description of τ A for several quotient reflective subcategories defined by means of properties of subspaces is given. It is shown that one of them is not co-(well-powered)." @default.
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- W2092096481 date "1986-12-01" @default.
- W2092096481 modified "2023-10-06" @default.
- W2092096481 title "A diagonal theorem for epireflective subcategories of top and cowellpoweredness" @default.
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- W2092096481 doi "https://doi.org/10.1007/bf01790546" @default.
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