From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9025 Path: news.gmane.org!.POSTED!not-for-mail From: Eduardo Julio Dubuc Newsgroups: gmane.science.mathematics.categories Subject: Re: Giraud_Elementary_? Date: Tue, 8 Nov 2016 12:13:39 -0500 Message-ID: References: <20161108100359.GB26241@mathematik.tu-darmstadt.de> Reply-To: Eduardo Julio Dubuc NNTP-Posting-Host: blaine.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=windows-1252; format=flowed Content-Transfer-Encoding: 7bit X-Trace: blaine.gmane.org 1478651763 10973 195.159.176.226 (9 Nov 2016 00:36:03 GMT) X-Complaints-To: usenet@blaine.gmane.org NNTP-Posting-Date: Wed, 9 Nov 2016 00:36:03 +0000 (UTC) Cc: Categories list To: Thomas Streicher Original-X-From: majordomo@mlist.mta.ca Wed Nov 09 01:35:56 2016 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.7.28]) by blaine.gmane.org with esmtp (Exim 4.84_2) (envelope-from ) id 1c4Gr9-0005E6-Ty for gsmc-categories@m.gmane.org; Wed, 09 Nov 2016 01:35:12 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:42537) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1c4Gqi-0006q6-Fs; Tue, 08 Nov 2016 20:34:44 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1c4Gqk-0004i1-Co for categories-list@mlist.mta.ca; Tue, 08 Nov 2016 20:34:46 -0400 In-Reply-To: <20161108100359.GB26241@mathematik.tu-darmstadt.de> Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9025 Archived-At: On 11/8/16 05:03, Thomas Streicher wrote: > On Mon, Nov 07, 2016 at 04:03:18PM -0500, Eduardo Julio Dubuc wrote: >> Hi, in this posting I will use the terminology used by most people in >> the list. >> >> There are Grothendieck, Giraud and Elementary (Lawvere-Tierney) topos. >> >> Grothendieck are Giraud and Elementary, my question is: >> >> Are Elementary Giraud topos which are not Grothendieck ? > > But Grothendieck and Giraud toposes are the same. In the Elephant one > can even find a relative Giraud Theorem. > > Thomas > By Giraud topos I mean all the assumptions in Giraud's theorem, exept a small set of generators. What Grothendieck call "faux topos". See SGA4 Exposse IV Theoreme 1.2 (Giraud's theorem) and Example 2.8 (faux topos). best e.d. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]