From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8248 Path: news.gmane.org!not-for-mail From: "Eduardo J. Dubuc" Newsgroups: gmane.science.mathematics.categories Subject: Re: A brief survey of cartesian functors Date: Mon, 28 Jul 2014 12:32:28 -0300 Message-ID: References: Reply-To: "Eduardo J. Dubuc" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 8bit X-Trace: ger.gmane.org 1406681943 26509 80.91.229.3 (30 Jul 2014 00:59:03 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 30 Jul 2014 00:59:03 +0000 (UTC) To: =?ISO-8859-1?Q?Jean_B=E9nabou?= , Categories Original-X-From: majordomo@mlist.mta.ca Wed Jul 30 02:58:57 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 1XCIEK-0003Y5-Ny for gsmc-categories@m.gmane.org; Wed, 30 Jul 2014 02:58:56 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:49047) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1XCIE0-0003yu-P2; Tue, 29 Jul 2014 21:58:36 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1XCIE1-0007jw-8q for categories-list@mlist.mta.ca; Tue, 29 Jul 2014 21:58:37 -0300 User-Agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.7; rv:24.0) Gecko/20100101 Thunderbird/24.6.0 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8248 Archived-At: Dear Jean, this mail is a valuable contribution to the subject. Concerning your last comments about crediting it, I suggest you put a title like "Comments on fibrations and foliations" or any other of the sort, and you upload it to the arXiv. In this way, it will have a wider distribution (its interest is not limited to this list) and even it will be possible to put it in the references of any paper and book if the author has a fair perception of your contributions. best regards e.d. On 28/07/14 06:54, Jean B?nabou wrote: > Dear Ross, Dear all, > > In a recent mail I asked Ross if pseudo cartesian functors between > pseudo fibrations had been studied. There are many generalizations of > fibrations. Pseudo fibrations are only one of them. But there are > also prefibrations, defined by Grothendieck, but almost never > considered, and pre foliations, which I define here, which > generalise greatly pre fibrations. For such pre foliatons, I define > cartesian functors and show that they have striking properties, most > of which are not known, even in the very special case of fibrations. > I thought this brief survey might interest you, in case you decide to > study seriously the properties of pseudo cartesian functors. > > Best regards to all, Jean > ... [For admin and other information see: http://www.mta.ca/~cat-dist/ ]