From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5069 Path: news.gmane.org!not-for-mail From: Andrej Bauer Newsgroups: gmane.science.mathematics.categories Subject: Re: Sheaf toposes and chain-complete posets Date: Tue, 28 Jul 2009 07:44:31 +0200 Message-ID: Reply-To: Andrej Bauer NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1248803853 5245 80.91.229.12 (28 Jul 2009 17:57:33 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Tue, 28 Jul 2009 17:57:33 +0000 (UTC) To: categories list Original-X-From: categories@mta.ca Tue Jul 28 19:57:28 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1MVqvX-00072m-Sx for gsmc-categories@m.gmane.org; Tue, 28 Jul 2009 19:57:28 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MVqA3-0000hv-07 for categories-list@mta.ca; Tue, 28 Jul 2009 14:08:23 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5069 Archived-At: Dear categorists, I should have asked a different question: what does a chain-complete _lattice_ which is not complete look like in a sheaf topos? Is there such a thing? (Thanks to Fred Linton who pointed out that I could just take a flat order and multiply it with a complete one, thus gettting a poset which has very few interesting chains but is not at all complete.) With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]