Note on a result of E.P. Lane
Fletcher, P., Lindgren, W.F. (1976)
Portugaliae mathematica
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Fletcher, P., Lindgren, W.F. (1976)
Portugaliae mathematica
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Fletcher, P., Lindgren, W. F.
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Romaguera, Salvador (2000)
Mathematica Pannonica
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David Buhagiar, Tanja Telenta (2007)
Mathematica Slovaca
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Fletcher, P., Hunsaker, W. (1998)
Serdica Mathematical Journal
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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...