From: "V. Schmitt" <vs27@mcs.le.ac.uk>
To: "categories@mta.ca" <categories@mta.ca>
Subject: Paper
Date: Thu, 08 Mar 2001 19:08:39 +0000 [thread overview]
Message-ID: <3AA7D8B7.A5069B5D@mcs.le.ac.uk> (raw)
Dear all,
I submitted the following paper a few months ago,
Title: ``Applying enriched categories to quasi-uniform spaces''
Abstract: The represention of complete metric spaces
of \cite{Law73} by enrichments is extented to
quasi-uniform spaces. Moreover quasi-uniformly continuous maps
are described as enriched functors. The quasi-uniform space
completion is also viewed as a Cauchy-completion.
Super monoidal functors are introduced to obtain these results.
A 2-category of enrichments over different bases is defined.
In this general context the Cauchy-completion is still a
universal construction.
Law73 is here the paper of F.W.Lawvere:
``Metric spaces, generalized logic and closed categories''
It is accessible on the site
http://www.mcs.le.ac.uk/research/publications
as the 6th research report of the year 2000.
All the best.
Vincent Schmitt
reply other threads:[~2001-03-08 19:08 UTC|newest]
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