From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7253 Path: news.gmane.org!not-for-mail From: Emily Riehl Newsgroups: gmane.science.mathematics.categories Subject: orthogonal factorization systems Date: Fri, 13 Apr 2012 18:09:36 -0400 (EDT) Message-ID: Reply-To: Emily Riehl NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed X-Trace: dough.gmane.org 1334409862 6934 80.91.229.3 (14 Apr 2012 13:24:22 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 14 Apr 2012 13:24:22 +0000 (UTC) To: Categories list Original-X-From: majordomo@mlist.mta.ca Sat Apr 14 15:24:22 2012 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.80]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1SJ2xi-0003FO-2Y for gsmc-categories@m.gmane.org; Sat, 14 Apr 2012 15:24:22 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:41221) by smtpx.mta.ca with esmtp (Exim 4.77) (envelope-from ) id 1SJ2wP-0001LZ-OJ; Sat, 14 Apr 2012 10:23:01 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1SJ2wO-0004lQ-E6 for categories-list@mlist.mta.ca; Sat, 14 Apr 2012 10:23:00 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7253 Archived-At: I've placed a bet with a colleague that the following result appears in the literature. Please help me win. Claim: Suppose (E,M) is an orthogonal factorization system (unique lifts) on a symmetric monoidal category and X is a fixed monoid. If tensoring with X preserves maps in the class E, then (E,M) lifts to an orthogonal factorizaiton system on the category of X-modules. Regards, Emily Riehl [For admin and other information see: http://www.mta.ca/~cat-dist/ ]