Title
Quantifying completion Quantifying completion
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Orlando, Fla ,
Subject
Mathematics
Source (journal)
International journal of mathematics and mathematical sciences. - Orlando, Fla
Volume/pages
23(2000) :1 , p. 729-739
ISSN
0161-1712
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Approach uniformities were introduced in Lowen and Windels (1998) as the canonical generalization of both metric spaces and uniform spaces. This text presents in this new context of quantitative uniform spaces, a reflective completion theory which generalizes the well-known completions of metric and uniform spaces. This completion behaves nicely with respect to initial structures and hyperspaces. Also, continuous extensions of pseudo-metrics on uniform spaces and (real) compactification of approach spaces can be interpreted in terms of this completion.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/f41f06/14da71f4.pdf
Handle