From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8204 Path: news.gmane.org!not-for-mail From: Michael Shulman Newsgroups: gmane.science.mathematics.categories Subject: functors defined by well-founded induction Date: Mon, 7 Jul 2014 20:11:44 -0700 Message-ID: Reply-To: Michael Shulman NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: ger.gmane.org 1404802671 17384 80.91.229.3 (8 Jul 2014 06:57:51 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Tue, 8 Jul 2014 06:57:51 +0000 (UTC) To: categories Original-X-From: majordomo@mlist.mta.ca Tue Jul 08 08:57:45 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 1X4PLR-0001dv-Pb for gsmc-categories@m.gmane.org; Tue, 08 Jul 2014 08:57:41 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:45406) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1X4PL4-00009n-9W; Tue, 08 Jul 2014 03:57:18 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1X4PL5-0000vB-JH for categories-list@mlist.mta.ca; Tue, 08 Jul 2014 03:57:19 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8204 Archived-At: Suppose I have a well-founded poset W, regarded as a category, and I would like to define a functor W -> C into some other category by well-founded recursion. Is there written out anywhere in the literature a general schema for doing this? It's a little more subtle than defining an ordinary function by well-founded recursion, since we have to define the value of the functor on morphisms too, and its value at a given object may depend on its value at morphisms between previous objects. Mike [For admin and other information see: http://www.mta.ca/~cat-dist/ ]