On the quantification of uniform properties
Lowen, Robert ; Windels, Bart
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 749-759 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1997-01-01
Classification:  54B30,  54E15,  54E35 
@article{118970,
     author = {Robert Lowen and Bart Windels},
     title = {On the quantification of uniform properties},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {749-759},
     zbl = {0980.54020},
     mrnumber = {1603710},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118970}
}

Lowen, Robert; Windels, Bart. On the quantification of uniform properties. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 749-759. http://gdmltest.u-ga.fr/item/118970/

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