On the quantification of uniform properties : part 2On the quantification of uniform properties : part 2
Studia scientiarum mathematicarum Hungarica. - Budapest
37(2001):1-2, p. 169-184
University of Antwerp
In 1930 Kuratowski introduced the measure of non-compactness for complete metric spaces in order to measure the discrepancy a set may have from being compact. Since then several variants and generalizations concerning quantification of topological and uniform properties have been studied. The introduction of approach uniform spaces, establishes a unifying setting which allows for a canonical quantification of uniform concepts, such as completeness, which is the subject of this article.