From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1882 Path: news.gmane.org!not-for-mail From: "V. Schmitt" Newsgroups: gmane.science.mathematics.categories Subject: Paper Date: Thu, 08 Mar 2001 19:08:39 +0000 Message-ID: <3AA7D8B7.A5069B5D@mcs.le.ac.uk> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241018172 973 80.91.229.2 (29 Apr 2009 15:16:12 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:16:12 +0000 (UTC) To: "categories@mta.ca" Original-X-From: rrosebru@mta.ca Fri Mar 9 16:15:48 2001 -0400 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f29JTHR20299 for categories-list; Fri, 9 Mar 2001 15:29:17 -0400 (AST) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Mailer: Mozilla 4.76 [en] (X11; U; Linux 2.2.18 i686) X-Accept-Language: en Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 7 Original-Lines: 26 Xref: news.gmane.org gmane.science.mathematics.categories:1882 Archived-At: 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