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- W2015429596 abstract "In this note we give external characterizations of absolutely topologicai functors U : A → X (where A may be a large category) as functors which are injective with respect to all functors based on the category X , or equivalently, which do not admit essential extensions over X . From this we deduce several characterizations and properties of the MacNeille completion of faithful functors. These results generalize the work of Horst Herriich [ Math. Z. 150 (1976), 101–110] in case of small categories, where the crucial point of this generalization lies in the fact that we cannot make use of the existence of MacNeille completions and we therefore have to introduce a local-initial-completion-construction." @default.
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- W2015429596 date "1978-04-01" @default.
- W2015429596 modified "2023-10-16" @default.
- W2015429596 title "Characterizations of MacNeille completions and topological functors" @default.
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- W2015429596 doi "https://doi.org/10.1017/s0004972700008017" @default.
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