From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7966 Path: news.gmane.org!not-for-mail From: "Rory Lucyshyn-Wright" Newsgroups: gmane.science.mathematics.categories Subject: Preprint: Enriched factorization systems Date: Sat, 4 Jan 2014 15:16:48 -0500 (EST) Message-ID: Reply-To: "Rory Lucyshyn-Wright" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain;charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-Trace: ger.gmane.org 1388884057 15738 80.91.229.3 (5 Jan 2014 01:07:37 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Sun, 5 Jan 2014 01:07:37 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Sun Jan 05 02:07:45 2014 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.186]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1VzcBs-00022h-If for gsmc-categories@m.gmane.org; Sun, 05 Jan 2014 02:07:44 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:48542) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1VzcBH-0006HN-SV; Sat, 04 Jan 2014 21:07:07 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1VzcBI-0007x8-5j for categories-list@mlist.mta.ca; Sat, 04 Jan 2014 21:07:08 -0400 User-Agent: SquirrelMail/1.4.9a Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7966 Archived-At: Dear Colleagues, A preprint of my paper "Enriched factorization systems" is available at http://arxiv.org/abs/1401.0315 An abstract is included below. Your comments and questions are welcome. Regards, Rory Lucyshyn-Wright ________________________________________ Rory B. B. Lucyshyn-Wright NSERC Postdoctoral Fellow Department of Mathematics and Statistics University of Ottawa http://aix1.uottawa.ca/~rlucyshy/ ________________________________________ Abstract: In a paper of 1974, Brian Day employed a notion of factorization system in the context of enriched category theory, replacing the usual diagonal lifting property with a corresponding criterion phrased in terms of hom-objects. We set forth the basic theory of such enriched factorization systems. In particular, we establish stability properties for enriched prefactorization systems, we examine the relation of enriched to ordinary factorization systems, and we provide general results for obtaining enriched factorizations by means of wide (co)intersections. As a special case, we prove results on the existence of enriched factorization systems involving enriched strong monomorphisms or strong epimorphisms. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]