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- W4383265020 abstract "The category Ban of Banach spaces and linear maps of norm ≤1 is locally ℵ1-presentable but not locally finitely presentable. We prove, however, that Ban is locally finitely presentable in the enriched sense over complete metric spaces. Moreover, in this sense, pure morphisms are just ideals of Banach spaces. We characterize classes of Banach spaces approximately injective with respect to sets of morphisms having finite-dimensional domains and separable codomains." @default.
- W4383265020 created "2023-07-06" @default.
- W4383265020 creator A5047280775 @default.
- W4383265020 date "2023-07-05" @default.
- W4383265020 modified "2023-10-17" @default.
- W4383265020 title "Enriched purity and presentability in Banach spaces" @default.
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- W4383265020 doi "https://doi.org/10.1080/00927872.2023.2228412" @default.
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