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On some questions in quasi-uniform topological spaces.

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

Stochastica

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

On the quantification of uniform properties

Robert Lowen, Bart Windels (1997)

Commentationes Mathematicae Universitatis Carolinae

Approach spaces ([4], [5]) turned out to be a natural setting for the quantification of topological properties. Thus a measure of compactness for approach spaces generalizing the well-known Kuratowski measure of non-compactness for metric spaces was defined ([3]). This article shows that approach uniformities (introduced in [6]) have the same advantage with respect to uniform concepts: they allow a nice quantification of uniform properties, such as total boundedness and completeness.

On U-equivalence spaces

Farshad Omidi, MohammadReza Molaei (2015)

Topological Algebra and its Applications

In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U- equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological spaces are considered.

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