From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4143 Path: news.gmane.org!not-for-mail From: Eduardo Dubuc Newsgroups: gmane.science.mathematics.categories Subject: preprint: 2-filteredness and the point of every Galois topos Date: Thu, 3 Jan 2008 15:31:42 -0200 (ARST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019744 11885 80.91.229.2 (29 Apr 2009 15:42:24 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:42:24 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Sat Jan 5 10:19:24 2008 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Sat, 05 Jan 2008 10:19:24 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1JB9aS-0000C9-Ig for categories-list@mta.ca; Sat, 05 Jan 2008 10:01:20 -0400 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 4 Original-Lines: 20 Xref: news.gmane.org gmane.science.mathematics.categories:4143 Archived-At: Title: 2-filteredness and the point of every Galois topos Authors: Eduardo J. Dubuc Categories: math.CT math.AG Comments: 5 pages, result presented at CT2007, Cavoeiro MSC-class: 18B25 \\ A locally connected topos is a Galois topos if the Galois objects generate the topos. We show that the full subcategory of Galois objects in any connected locally connected topos is an inversely 2-filtered 2-category, and as an application of the construction of 2-filtered bi-limits of topoi, we show that every Galois topos has a point. \\ ( http://arxiv.org/abs/0801.0010 , 6kb) NOTE: in definition 1.2 iii) "Z" is supposed to be locally constant.