Publication
Title
Pointwise bornological spaces
Author
Abstract
With each metric space (X, d) we can associate a bornological space (X, B(d)) where B(d) is the set of all subsets of X with finite diameter. Equivalently, B(d) is the set of all subsets of X that are contained in a ball with finite radius. If the metric d can attain the value infinite, then the set of all subsets with finite diameter is no longer a bornology. Moreover, if d is no longer symmetric, then the set of subsets with finite diameter does not coincide with the set of subsets that are contained in a ball with finite radius. In this text we will introduce two structures that capture the concept of boundedness in both symmetric and non-symmetric extended metric spaces. (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. 2019-2027
ISI
000267388100006
Full text (Publishers 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 25.05.2017
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