From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6083 Path: news.gmane.org!not-for-mail From: John Baez Newsgroups: gmane.science.mathematics.categories Subject: Re: String diagrams, adjunction and autonomous categories. Date: Tue, 31 Aug 2010 13:06:25 +0800 Message-ID: Reply-To: John Baez NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: dough.gmane.org 1283299551 7755 80.91.229.12 (1 Sep 2010 00:05:51 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 1 Sep 2010 00:05:51 +0000 (UTC) To: categories Original-X-From: majordomo@mlist.mta.ca Wed Sep 01 02:05:49 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.139]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Oqapp-0007iN-64 for gsmc-categories@m.gmane.org; Wed, 01 Sep 2010 02:05:49 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:43943) by smtpy.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1Oqan4-0006EY-7j; Tue, 31 Aug 2010 21:02:58 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Oqamy-0004oi-Uo for categories-list@mlist.mta.ca; Tue, 31 Aug 2010 21:02:53 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6083 Archived-At: Micah wrote: Incidentally, although I'm not sure that I'm familiar with the work of Baez > to which you refer, I would imagine that the use of string diagrams to > describe units and counits in an autonomous category is considerably older, > at least as far back as "Planar Diagrams and Tensor Algebra" by Joyal and > Street (available on the website of the latter) from 1988. > He was probably talking about these popularizations: A prehistory of n-categorical physics, with Aaron Lauda http://arxiv.org/abs/0908.2469 Physics, logic, computation and topology: a Rosetta stone, with Mike Stay http://arxiv.org/abs/0903.0340 which cite the work of Joyal and Street, though sadly not the paper you mention. Best, jb [For admin and other information see: http://www.mta.ca/~cat-dist/ ]