Displaying similar documents to “The Doitchinov Completion of a Regular Paratopological Group”

A Note on Totally Bounded Quasi-Uniformities

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...

On a Class of D-Cauchy Filters

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.