From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8225 Path: news.gmane.org!not-for-mail From: Ross Street Newsgroups: gmane.science.mathematics.categories Subject: Re: Composition of Fibrations Date: Wed, 23 Jul 2014 07:52:42 +1000 Message-ID: References: <3E52EFB7-7955-47B1-9B00-9F6F6152BBC1@cs.bham.ac.uk> <32AB43B0-58DA-4375-A4FD-6C84F4E527EA@wanadoo.fr> <6EFFC44F-E933-412B-89F2-C33B598D78B0@cs.bham.ac.uk> <9747FDFD-FF71-4ACE-8DD3-538462A1B283@wanadoo.fr> Reply-To: Ross Street NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 (Mac OS X Mail 7.3 \(1878.6\)) Content-Type: text/plain; charset=windows-1252 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1406132030 7459 80.91.229.3 (23 Jul 2014 16:13:50 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 23 Jul 2014 16:13:50 +0000 (UTC) Cc: Categories To: Steve Vickers Original-X-From: majordomo@mlist.mta.ca Wed Jul 23 18:13:44 2014 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.186]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1X9zAj-0006RI-75 for gsmc-categories@m.gmane.org; Wed, 23 Jul 2014 18:13:41 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:47834) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1X9z9X-0007yr-Gm; Wed, 23 Jul 2014 13:12:27 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1X9z9W-0006QS-DQ for categories-list@mlist.mta.ca; Wed, 23 Jul 2014 13:12:26 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8225 Archived-At: Dear Steve and Jean On 23 Jul 2014, at 12:55 am, Steve Vickers = wrote: > In Cat every 0-fibration is normal, This statement in SLNM420 is false (since in that paper 0-fibration=20 means existence of a pseudo-L-algebra structure).=20 I must have temporarily believed it when I wrote it. I was using ``normal=92=92 to mean strict unit condition. Grothendieck fibrations with chosen cleavage=20 are the normal pseudo-L-algebras. I apologize profusely for confusion caused. Ross [For admin and other information see: http://www.mta.ca/~cat-dist/ ]