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 nonsymmetric extended metric spaces. (C) 2009 Elsevier B.V. All rights reserved.  

Language 



English


Source (journal) 



Topology and its applications.  Amsterdam 

Publication 



Amsterdam : 2009


ISSN 



01668641


Volume/pages 



156:12(2009), p. 20192027


ISI 



000267388100006


Full text (Publisher's DOI) 


 

Full text (open access) 


 
