On a property of pseudometrics and uniformities near to convexity
Jan Hejcman, Jiří Vilímovský (1988)
Czechoslovak Mathematical Journal
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Jan Hejcman, Jiří Vilímovský (1988)
Czechoslovak Mathematical Journal
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Michael David Rice (1977)
Czechoslovak Mathematical Journal
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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. ...
Vilímovský, Jiří
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