From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6553 Path: news.gmane.org!not-for-mail From: =?UTF-8?Q?Jonathan_CHICHE_=E9=BD=8A=E6=AD=A3=E8=88=AA?= Newsgroups: gmane.science.mathematics.categories Subject: Adjunctions and fibrations in 2-Cat Date: Mon, 28 Feb 2011 12:15:27 +0100 Message-ID: Reply-To: =?UTF-8?Q?Jonathan_CHICHE_=E9=BD=8A=E6=AD=A3=E8=88=AA?= NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v753.1) Content-Type: text/plain; charset=US-ASCII; delsp=yes; format=flowed Content-Transfer-Encoding: 7bit X-Trace: dough.gmane.org 1298905372 21558 80.91.229.12 (28 Feb 2011 15:02:52 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 28 Feb 2011 15:02:52 +0000 (UTC) To: Categories list Original-X-From: majordomo@mlist.mta.ca Mon Feb 28 16:02:47 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.114]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Pu4cX-0007zf-BB for gsmc-categories@m.gmane.org; Mon, 28 Feb 2011 16:02:45 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:42541) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1Pu4cA-0007tn-R6; Mon, 28 Feb 2011 11:02:22 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Pu4c3-000542-Iy for categories-list@mlist.mta.ca; Mon, 28 Feb 2011 11:02:16 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6553 Archived-At: Dear all, Is the notion of adjunction in 2-Cat well-understood? Here, 2-Cat stands for a 3-category the objects of which are 2-categories. I am mainly interested in the case where everything is strict, but comments on the non-strict cases are welcome. There has been a discussion recently about what should be the definition of fibration in an arbitrary 2-category. I do not expect the notion to be defined for general 3-categories, but is there at least a definition for the notion of fibration in 2-Cat? Many thanks in advance for your help! Jonathan Chiche [For admin and other information see: http://www.mta.ca/~cat-dist/ ]