AUnif: A common supercategory of pMET and Unif
type: Item
instance of: scholarly article
title: AUnif: A common supercategory of pMET and Unif
zbMATH Open document ID: 0890.54024
DOI: 10.1155/S0161171298000015
author: Robert Lowen
author: Bart Windels
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1998-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/47890
review text: Although the first author's approach spaces [Approach spaces: the missing link in the topology-uniformity-metric triad, Oxford Mathematical Monographs, Oxford (1997)] involve uniform ideas from their origin, it seems that the uniformity is insufficient. ``\dots the theory is local. For instance, the space of continuous functions between metric spaces'' with a natural approach structure is always complete. ``Also, \textbf{AP} seems not to be the right context for the quantification of uniform properties \dots''. This has motivated the authors to introduce new `approach uniformities', whose theory this paper initiates.
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 1127735
zbMATH Keywords: approach space
zbMATH Keywords: approach uniformity
zbMATH Keywords: uniform space
reviewed by: J. R. Isbell
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1127735