Symmetry conditions on the coincidence of some notions of quasi-uniform completeness.
Andrikopoulos, Athanasios (2007)
International Journal of Mathematics and Mathematical Sciences
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Andrikopoulos, Athanasios (2007)
International Journal of Mathematics and Mathematical Sciences
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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...
A. J. Ward (1975)
Czechoslovak Mathematical Journal
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Császár, Ákos (1998)
Serdica Mathematical Journal
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∗ Research supported by Hungarian National Foundation for Scientific Research, Grant No T 016094. In a quasi-uniform space, firmly D-Cauchy filters are introduced and they role in constructing firm extensions is investigated.
Seyedin, Massood
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Peter Fletcher, Somashekhar Naimpally (1971)
Czechoslovak Mathematical Journal
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Deák, J. (1990)
Mathematica Pannonica
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