From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5690 Path: news.gmane.org!not-for-mail From: Anders Kock Newsgroups: gmane.science.mathematics.categories Subject: Some documents 1966-67 Date: Mon, 12 Apr 2010 13:12:55 +0200 Message-ID: Reply-To: Anders Kock 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: dough.gmane.org 1271080514 6705 80.91.229.12 (12 Apr 2010 13:55:14 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 12 Apr 2010 13:55:14 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Mon Apr 12 15:55:09 2010 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 4.69) (envelope-from ) id 1O1K6V-0007fV-NJ for gsmc-categories@m.gmane.org; Mon, 12 Apr 2010 15:55:07 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1O1JXH-0005zL-OT for categories-list@mta.ca; Mon, 12 Apr 2010 10:18:43 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5690 Archived-At: I have made some documents (notes which I have taken from lectures by Lawvere and Benabou) available on my home page: http://home.imf.au.dk/kock/lawvere66.pdf (from 1966; probably at Oberwolfach); http://home.imf.au.dk/kock/benabou67a.pdf http://home.imf.au.dk/kock/benabou67b.pdf The lectures by Benabou are from his long visit to U. of Chicago in the spring of 1967, where he gave some influential lectures, introducing Bicategories; profunctors (as he called them by then) were a significant example, and their theory was developed. Lawvere participated in (organized?) this seminar. I do not remember Lawvere making any priority claims concerning the "profunctor"-example; this was not an issue, although profunctors clearly are present in his 1966 talk, cf. the link above (and they are part of a broad evolution: bimodule theory of Cartan-Eilenberg (or earlier?), tensor product of functors in Watts' contribution to the 1965 LaJolla volume, ... ). Anders Kock [For admin and other information see: http://www.mta.ca/~cat-dist/ ]