* Paper
@ 2001-03-08 19:08 V. Schmitt
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From: V. Schmitt @ 2001-03-08 19:08 UTC (permalink / raw)
To: categories
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
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