From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6876 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: Grothendieck topology vs Lawvere-Tierney topology Date: Fri, 09 Sep 2011 13:14:57 -0400 Message-ID: Reply-To: "Fred E.J. Linton" 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 1315661533 21056 80.91.229.12 (10 Sep 2011 13:32:13 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 10 Sep 2011 13:32:13 +0000 (UTC) To: Original-X-From: majordomo@mlist.mta.ca Sat Sep 10 15:32:08 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1R2NfD-0004c0-S1 for gsmc-categories@m.gmane.org; Sat, 10 Sep 2011 15:32:08 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:48523) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R2NdN-0008Sh-HZ; Sat, 10 Sep 2011 10:30:13 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R2NdM-0005Aa-Pj for categories-list@mlist.mta.ca; Sat, 10 Sep 2011 10:30:12 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6876 Archived-At: On Fri, 09 Sep 2011 11:40:07 AM EDT Peter Johnstone wrote: > On Wed, 7 Sep 2011, Vasili I. Galchin wrote: > = >> In which paper did Lawvere and Tierney lay out the relationship >> between these two topologies? >> > I don't know where the proof of the equivalence was first written > down. But it was stated clearly by Lawvere in his Introduction to > Springer LNM 274 (1972) ... And that was recording the upshot of work carried out in the course of a 1969-70 seminar on topos theory held at Dalhousie U. (Halifax, NS), = during a sort of follow-on to the marvelous Zurich Triples Book year at the ETH during 1966-67. Thanks for that Dalhousie year, btw, to Bill Lawvere, Arnold J. Tingley, and the Izaak Walton Killam Foundation, without whose organizational efforts, cooperation, and funding, respectively, there'd have been = no critical mass for that year at all. Cheers, -- Fred [For admin and other information see: http://www.mta.ca/~cat-dist/ ]