From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6125 Path: news.gmane.org!not-for-mail From: Colin McLarty Newsgroups: gmane.science.mathematics.categories Subject: Re: Grothendieck: more complete URL Date: Tue, 7 Sep 2010 13:19:48 -0400 Message-ID: References: Reply-To: Colin McLarty 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 1283946644 4254 80.91.229.12 (8 Sep 2010 11:50:44 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 8 Sep 2010 11:50:44 +0000 (UTC) To: Michael Barr , Categories list Original-X-From: majordomo@mlist.mta.ca Wed Sep 08 13:50:40 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.138]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1OtJAl-0001Vo-QU for gsmc-categories@m.gmane.org; Wed, 08 Sep 2010 13:50:40 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:54129) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1OtJ9D-0004li-Tq; Wed, 08 Sep 2010 08:49:03 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1OtJ99-0006Vs-A0 for categories-list@mlist.mta.ca; Wed, 08 Sep 2010 08:48:59 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6125 Archived-At: Dear Mike, I would suggest a slightly different translation of the title. I think that both AG's writing style at the time, and his view of the paper are better suited by "Some aspects of homological algebra.". The title "on certain aspects..." suggest that this is just one selection of topics, and one could as well have selected others. But AG intended this paper to hit the very center of homological algebra: from now on homological algebra is about derived functors on Abelian categories with enough injectives -- and he justifies this by proving (against the general expectation) that all sheaf categories have enough injectives . Of course there are other resolutions besides injective, we will use them too, but they are special cases for special purposes. Reading the Serre-Grothendieck correspondence you see they were very off-hand in their language and consciously casual. But they were not at all modest. So AG remarks on "some aspects" -- but he does not suggest any limitation to just "certain aspects" as if other aspects might be equally important. best, Colin 2010/9/5 Michael Barr : > Apparently, some browsers are not recognizing that URL. =A0Here is a more > complete version: > ftp://ftp.math.mcgill.ca/pub/barr/pdffiles/gk.pdf > My browser automatically prepends the ftp://, but I guess some don't. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]