From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7310 Path: news.gmane.org!not-for-mail From: William Messing Newsgroups: gmane.science.mathematics.categories Subject: Re: Bourbaki and category theory again Date: Sun, 27 May 2012 14:44:52 -0500 Message-ID: <4FC28434.1050802@math.umn.edu> References: Reply-To: William Messing NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1338245604 23317 80.91.229.3 (28 May 2012 22:53:24 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 28 May 2012 22:53:24 +0000 (UTC) Cc: categories@mta.ca, To: George Janelidze Original-X-From: majordomo@mlist.mta.ca Tue May 29 00:53:23 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 1SZ8oT-0004Eu-2L for gsmc-categories@m.gmane.org; Tue, 29 May 2012 00:53:21 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:45160) by smtpx.mta.ca with esmtp (Exim 4.77) (envelope-from ) id 1SZ8nR-0007nr-9c; Mon, 28 May 2012 19:52:17 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1SZ8nS-0004DX-T6 for categories-list@mlist.mta.ca; Mon, 28 May 2012 19:52:18 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7310 Archived-At: Concerning Borceaux's citation of "Revised and reduced..." in the second=20 edition of Bourbaki, Theorie des Ensembles, chapitre IV, I think a more=20 accurate translation is "suppressed", rather than "reduced". What was=20 suppressed from the first, 1957, edition of Structures was the 19 page=20 appendix, titled Criteres de transportabilite, and devoted to giving=20 useful criteria for verifying that a relation of a theory T, is=20 transportable relative to a given typification, as these terms are=20 defined in =B6 1 of this chapter. Thus, this appendix also explains th= e=20 concept of "transport of structure", a notion that Bourbaki employed=20 frequently and also gives a rigorous definition of "canonical".=20 It seems plausible that Chevalley was the author of this appendix,=20 although Bourbaki tradition is to not confirm or deny such a statement. I have never understood why Bourbaki chose to suppress this appendix, as=20 I find it very interesting and very well written. Bill Messing [For admin and other information see: http://www.mta.ca/~cat-dist/ ]