A Unif: A common supercategory of pMET and Unif

R. Lowen and B. Windels

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-18

Abstract:

In order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. Approach uniformities uniformize the so-called approach spaces, introduced in Lowen [8]. Different characterizations of approach uniformities are formulated. Some natural examples are presented, such as function spaces, hyperspaces, spaces of measures, and an example concerning theoretical computer science.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:848670

DOI: 10.1155/S0161171298000015

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