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- W2055821397 abstract "We define a functor from topological quasi-uniform spaces and continuous, uniformly continuous maps to quasi-uniform spaces and uniformly continuous maps. This functor retains the same underlying set, and generalizes a construction due to Junnila (1978) and Künzi and Ferrario (1991) to obtain another quasi-uniformity, with respect to which the continuous uniformly continuous functions on the original structure are uniformly continuous; the functor then takes the maps to themselves. As a result, this functor takes the Smyth completion of a topological quasi-uniform space into the bicompletion of its image under the functor, and a topological quasi-uniform space is Smyth complete exactly when its image is bicomplete." @default.
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- W2055821397 date "1999-02-01" @default.
- W2055821397 modified "2023-09-25" @default.
- W2055821397 title "Smyth completion as bicompletion" @default.
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- W2055821397 doi "https://doi.org/10.1016/s0166-8641(97)00208-3" @default.
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