From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7385 Path: news.gmane.org!not-for-mail From: krenickr@cs.man.ac.uk Newsgroups: gmane.science.mathematics.categories Subject: Re: Examples of symmetric monoidal bicategories Date: Tue, 17 Jul 2012 18:35:06 +0100 Message-ID: References: Reply-To: krenickr@cs.man.ac.uk NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain;charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1342561676 25707 80.91.229.3 (17 Jul 2012 21:47:56 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Tue, 17 Jul 2012 21:47:56 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Tue Jul 17 23:47:56 2012 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.80]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1SrFcX-0006B0-6J for gsmc-categories@m.gmane.org; Tue, 17 Jul 2012 23:47:53 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:57273) by smtpx.mta.ca with esmtp (Exim 4.77) (envelope-from ) id 1SrFc0-0004wu-MW; Tue, 17 Jul 2012 18:47:20 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1SrFc2-0000Ug-0o for categories-list@mlist.mta.ca; Tue, 17 Jul 2012 18:47:22 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7385 Archived-At: Thanks a lot for the examples everyone! Roman > Dear all, > > I'm looking for examples of symmetric monoidal bicategories (where the > structure is genuinely weak, i.e. the various isomorphisms are not > identities) and I would appreciate some help. -- Actually, strict > 2-categories with (genuinely) weak monoidal structure would be even mor= e > interesting, but I found it almost impossible to find anything on that. > > As I am using these categories as models, I need some structure that is > "concrete enough" to do calculations with (while being as simple as > possible). > > Right now I'm considering the bicategory of rings (or monoids or > fields), bimodules over them, and bimodule homomorphisms, where the > monoidal structure is defined by the tensor product etc. (Pointers to > detailed accounts of this category would be very much appreciated, too. > I've only found fairly sketchy mentions in the literature.) > > I would be grateful about any other examples of this kind! > > Thanks, > Roman > [For admin and other information see: http://www.mta.ca/~cat-dist/ ]