From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7558 Path: news.gmane.org!not-for-mail From: Andrej Bauer Newsgroups: gmane.science.mathematics.categories Subject: Splitting epis by wishful thinking Date: Thu, 3 Jan 2013 13:36:01 +0100 Message-ID: Reply-To: Andrej Bauer NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: ger.gmane.org 1357264298 9708 80.91.229.3 (4 Jan 2013 01:51:38 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 4 Jan 2013 01:51:38 +0000 (UTC) To: categories list Original-X-From: majordomo@mlist.mta.ca Fri Jan 04 02:51:54 2013 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.32]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1TqwRq-0001xO-Aw for gsmc-categories@m.gmane.org; Fri, 04 Jan 2013 02:51:50 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:56718) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1TqwL9-0006XG-7I; Thu, 03 Jan 2013 21:44:55 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1TqwRE-00070o-75 for categories-list@mlist.mta.ca; Thu, 03 Jan 2013 21:51:12 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7558 Archived-At: On Mathoverflow there is a discussion (see http://mathoverflow.net/questions/117921/relative-consistency-of-etcs-over-the-theory-of-a-well-pointed-topos-with-nno) which got me thinking. Is there a construction which "freely" splits all epis in a category C? Something like: we add sections to every epi and wish we are done? The question is somewhat lose, but I think it is clear nontheless. With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]