From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6554 Path: news.gmane.org!not-for-mail From: Marta Bunge Newsgroups: gmane.science.mathematics.categories Subject: RE: Adjunctions and fibrations in 2-Cat Date: Mon, 28 Feb 2011 11:00:27 -0500 Message-ID: References: <20110228150904.7A4EE6833@mailscan1.ncs.mcgill.ca> Reply-To: Marta Bunge NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1298935480 17856 80.91.229.12 (28 Feb 2011 23:24:40 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 28 Feb 2011 23:24:40 +0000 (UTC) To: , Original-X-From: majordomo@mlist.mta.ca Tue Mar 01 00:24:36 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 1PuCSB-0003b5-I4 for gsmc-categories@m.gmane.org; Tue, 01 Mar 2011 00:24:35 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:57521) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1PuCRw-0001CK-Nj; Mon, 28 Feb 2011 19:24:20 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1PuCRp-0008Sn-Kk for categories-list@mlist.mta.ca; Mon, 28 Feb 2011 19:24:13 -0400 In-Reply-To: <20110228150904.7A4EE6833@mailscan1.ncs.mcgill.ca> Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6554 Archived-At: Dear Jonathon=2C A definition of =A02-fibration is given in the following sources:Claudio He= rmida=2C "Some properties of Fib as a fibered 2-category"=2C J. Pure Appl. = Alg. 134-1 (1999) 83-109.Claudio Hermida=2C "Descebt on 2-fibrations and st= rongly 2-regular 2-categories"=2C App. Cat. Str. 12 (2004) 427--459.=A0 It is adopted (Definition 4.1) and used =A0in=A0Marta Bunge and Claudio Her= mida=2C 'Pseudomonadicity and 2-stack completions"=2C Proceedings of the Ma= kkaiFest=2C CRM Proceedings and Lecture Notes=2C to appear 2011=2C=A0a prep= rint of which I shall send to anyone requesting it.=A0 Best wishes=2CMarta Bunge ************************************************ Marta Bunge Professor Emerita Dept of Mathematics and Statistics=20 McGill UniversityBurnside Hall=2C Office 1005 805 Sherbrooke St. West Montreal=2C QC=2C Canada H3A 2K6 Office: (514) 398-3810/3800 =A0 Home: (514) 935-3618 marta.bunge@mcgill.ca=20 http://www.math.mcgill.ca/~bunge/ ************************************************ > To: categories@mta.ca > From: chichejonathan@gmail.com > Subject: categories: Adjunctions and fibrations in 2-Cat > Date: Mon=2C 28 Feb 2011 12:15:27 +0100 >=20 > Dear all=2C >=20 > Is the notion of adjunction in 2-Cat well-understood? Here=2C 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=2C but > comments on the non-strict cases are welcome. >=20 > 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=2C but is there at > least a definition for the notion of fibration in 2-Cat? >=20 > Many thanks in advance for your help! >=20 > Jonathan Chiche >=20 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]