Quasi-uniformisation of closure spaces

Jiří Svoboda

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Note on a result of E.P. Lane

Fletcher, P., Lindgren, W.F. (1976)

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Topological spaces which admit a compatible complete quasi-uniformity

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A new class of quasi-uniform spaces.

Romaguera, Salvador (2000)

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Quasi-uniform completions of partially ordered spaces

David Buhagiar, Tanja Telenta (2007)

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A Note on Totally Bounded Quasi-Uniformities

Fletcher, P., Hunsaker, W. (1998)

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We present the original proof, based on the Doitchinov completion, that a totally bounded quiet quasi-uniformity is a uniformity. The proof was obtained about ten years ago, but never published. In the mean-time several stronger results have been obtained by more direct arguments [8, 9, 10]. In particular it follows from Künzi’s [8] proofs that each totally bounded locally quiet quasi-uniform space is uniform, and recently Déak [10] observed that even each totally bounded Cauchy...