Publication
Title
Function spaces in metrically generated theories
Author
Abstract
The theory of metrically generated constructs provides us with an excellent setting for the study of function spaces. In this paper we develop a function space theory for metrically generated constructs and, by considering different metrically generated constructs, we capture interesting examples. For instance, for uniform spaces we retrieve the uniformity of uniform convergence and its generalization to Sigma-convergence and for UG-spaces we obtain a quantified version of these structures. Our theory also allows for many applications, in particular we are able to characterize the complete subspaces of these function spaces and we succeed in producing an appropriate Ascoli theorem. (C) 2009 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Topology and its applications. - Amsterdam
Publication
Amsterdam : 2009
ISSN
0166-8641
Volume/pages
156:12(2009), p. 2088-2100
ISI
000267388100012
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 24.02.2012
Last edited 08.06.2017
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