From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5005 Path: news.gmane.org!not-for-mail From: Barney Hilken Newsgroups: gmane.science.mathematics.categories Subject: Triquotient assignments for geometric morphisms Date: Mon, 22 Jun 2009 16:48:54 +0100 Message-ID: Reply-To: Barney Hilken NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v935.3) Content-Type: text/plain; charset=US-ASCII; format=flowed; delsp=yes Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1245718252 8957 80.91.229.12 (23 Jun 2009 00:50:52 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Tue, 23 Jun 2009 00:50:52 +0000 (UTC) To: categories Original-X-From: categories@mta.ca Tue Jun 23 02:50:50 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 1MIuDq-00012j-BZ for gsmc-categories@m.gmane.org; Tue, 23 Jun 2009 02:50:50 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MItdF-0001bp-AL for categories-list@mta.ca; Mon, 22 Jun 2009 21:13:01 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5005 Archived-At: Has anyone generalised the theory of (weak) triquotient assignments from locale maps to geometric morphisms? In particular, does the pullback (assuming boundedness) of a geometric morphism with a triquotient assignment have a unique triquotient assignment satisfying the Beck-Chevalley condition? Also, if f:X->Y is a continuous function between topological spaces, are there any reasonable conditions (other than openness) under which the interior of the direct image along f is a weak triquotient assignment for the inverse image map? Thanks, Barney. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]