From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6839 Path: news.gmane.org!not-for-mail From: Tom Leinster Newsgroups: gmane.science.mathematics.categories Subject: re: a coalgebra over fields question Date: Fri, 26 Aug 2011 20:15:09 +0100 Message-ID: References: Reply-To: Tom Leinster NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1"; format=flowed Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1314395850 29583 80.91.229.12 (26 Aug 2011 21:57:30 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 26 Aug 2011 21:57:30 +0000 (UTC) Cc: "categories@mta.ca" , Tom Leinster To: Anders Kock Original-X-From: majordomo@mlist.mta.ca Fri Aug 26 23:57:23 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Qx4Ox-0006iM-H1 for gsmc-categories@m.gmane.org; Fri, 26 Aug 2011 23:57:23 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:58940) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1Qx4NK-00089d-Rv; Fri, 26 Aug 2011 18:55:42 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Qx4NK-00082w-5W for categories-list@mlist.mta.ca; Fri, 26 Aug 2011 18:55:42 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6839 Archived-At: Dear Anders, > Gavin Wraith lectured in 1976 about an important aspect in this > connection. I don't know of any published reference. Namely: The > category of commutative algebras is enriched over the cartesian closed > category of commutative coalgebras. > > Does anybody know of a published reference ? I believe the key term here is "measure coalgebra" or "measuring=20 coalgebra". There's an nLab page on this: http://ncatlab.org/nlab/show/measure+coalgebra It doesn't give any references, and I don't know any. But presumably the= =20 authors of that page are reading this and have a better idea than me. Andr=E9 Joyal also mentioned this enrichment in his talk at CT11. Best wishes, Tom [For admin and other information see: http://www.mta.ca/~cat-dist/ ]