ON THE QUANTIFICATION OF UNIFORM PROPERTIES.PART 2

Author: Windels B.  

Publisher: Akademiai Kiado

ISSN: 0081-6906

Source: Studia Scientiarum Mathematicarum Hungarica, Vol.37, Iss.1-2, 2001-12, pp. : 169-184

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Abstract

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 quanti .cation of topological and uniform properties have been studied.The introduction of approach uniform spaces ,establishes a unifying setting which allows for a canonical quanti .cation of uniform concepts,such as completeness,which is the subject of this article.