Displaying similar documents to “Quasi-uniform Space”

On some questions in quasi-uniform topological spaces.

Jesús Ferrer Llopis, Valentín Gregori Gregori, Carmen Alegre Gil (1992)

Stochastica

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Partial solution is given here respect to one open problem posed by P. Fletcher and W. F. Lindgren in their monography Quasi-uniform spaces.

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...