From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7329 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: Bourbaki & category theory Date: Wed, 13 Jun 2012 19:18:18 -0400 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1339671200 1119 80.91.229.3 (14 Jun 2012 10:53:20 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Thu, 14 Jun 2012 10:53:20 +0000 (UTC) To: , "categories@mta.ca" Original-X-From: majordomo@mlist.mta.ca Thu Jun 14 12:53:20 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 1Sf7fq-0006YN-E0 for gsmc-categories@m.gmane.org; Thu, 14 Jun 2012 12:53:10 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:49490) by smtpx.mta.ca with esmtp (Exim 4.77) (envelope-from ) id 1Sf7ew-0001yc-76; Thu, 14 Jun 2012 07:52:14 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Sf7ev-00078C-Sn for categories-list@mlist.mta.ca; Thu, 14 Jun 2012 07:52:13 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7329 Archived-At: Let me add to the remarks on the extent to which Bourbaki did -- or = did not -- envisage categories or category theory as an appropriate = vehicle for conveying universal constructs in their expositions of = other mathematics, by mentioning in this context the late Serge Lang's = now half-century-old report, originally prepared "for Bourbaki's internal= = consumption", on the cohomology of groups: {Rapport sur la Cohomologie = des Groupes}, W.A. Benjamin, NY, 1966. On page 97 of the Benjamin publication, Serge seeks to "definir la notion de cat=E9gorie multilin=E9aire", notion which his PREFACE indicate= s is "due to Cartier" and which figures not only in these 1959-era notes but also in the first-year graduate algebra course he gave at Columbia = during the 1958-1959 academic year. (It was my first year at Columbia, and I remember that course well -- it gave me not only my first exposure too Serge Lang, and to categories, but to Saul Lubkin and Peter Freyd as well, each of whom Serge invited to give a "guest lecture" for a day (it was the era of the "race for the best embedding theorem":-) ). Whatever else may have been the case then or earlier as regards Bourbaki = and categories, by 1959 even multilinear categories were being pressed upon Bourbaki in certain quarters, by certain proponents, without, alas, much perceptible effect. Cheers, -- Fred ------ Original Message ------ Received: Thu, 24 May 2012 08:28:11 PM EDT From: rlk@knighten.org To: "categories@mta.ca" Subject: categories: Re: Bourbaki & category theory [For admin and other information see: http://www.mta.ca/~cat-dist/ ]