Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
806 (1996), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
In this paper we develop some connections between the partial metrics of Matthews and the topological aspects of domain theory. We do this by introducing the valuation spaces, which are a special class of partial metric spaces. We develop the natural duality of partial metrics and propose that a natural context in which to view a partial metric space is as a bitopological space. We then see that successive conditions on a valuation can ensure that the pmetric topology is first of all order consistent (with the underlying poset), then equivalent to the Scott topology, and finally that the induced metric topology is equivalent to the patch topology.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1996.tb49177.x
Permalink
Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |