From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4864 Path: news.gmane.org!not-for-mail From: Thomas Hildebrandt Newsgroups: gmane.science.mathematics.categories Subject: Re: Prof Date: Thu, 21 May 2009 21:55:11 +0200 Message-ID: Reply-To: Thomas Hildebrandt NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1243000163 18542 80.91.229.12 (22 May 2009 13:49:23 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 22 May 2009 13:49:23 +0000 (UTC) To: Mike Stay , categories Original-X-From: categories@mta.ca Fri May 22 15:49:16 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1M7V7W-0003l2-7i for gsmc-categories@m.gmane.org; Fri, 22 May 2009 15:49:10 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1M7UTk-0003tz-FS for categories-list@mta.ca; Fri, 22 May 2009 10:08:04 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:4864 Archived-At: Mike Stay wrote: > The bicategory of (small categories, profunctors, and natural > transformations), should be equivalent to the 2-category of (presheaf > categories, colimit-preserving functors, and natural transformations). > Has someone proved this? If so, where? > > Thanks! > Dear Mike, You may have a look at Prop. 4.2.4 in the PhD thesis of Gian Luca Cattani from BRICS, University of Aarhus, available at http://www.daimi.au.dk/~luca/thesis.html Best Thomas Hildebrandt IT University of Copenhagen www.itu.dk