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Displaying similar documents to “Precompactness and total boundedness in products of metric spaces.”

Quantifying completion.

Lowen, Robert, Windels, Bart (2000)

International Journal of Mathematics and Mathematical Sciences

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On the quantification of uniform properties

Robert Lowen, Bart Windels (1997)

Commentationes Mathematicae Universitatis Carolinae

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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. ...