From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5832 Path: news.gmane.org!not-for-mail From: Toby Bartels Newsgroups: gmane.science.mathematics.categories Subject: Re: "injective" terminology Date: Fri, 21 May 2010 09:35:48 -0700 Message-ID: References: Reply-To: Toby Bartels NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii X-Trace: dough.gmane.org 1274542881 5831 80.91.229.12 (22 May 2010 15:41:21 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 22 May 2010 15:41:21 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Sat May 22 17:41:20 2010 connect(): No such file or directory 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 4.69) (envelope-from ) id 1OFqpD-0003M3-8b for gsmc-categories@m.gmane.org; Sat, 22 May 2010 17:41:19 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1OFqGj-0002LH-4R for categories-list@mta.ca; Sat, 22 May 2010 12:05:41 -0300 Content-Disposition: inline In-Reply-To: Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5832 Archived-At: The term "projective limit" contrasts with "inductive limit", so I have sometimes felt like saying "inductive object". However, I've never actually done so; besides having no precedent, the term "inductive object" already has an established meaning: an inductive object is an initial algebra of a polynomial endofunctor. (Example: A natural-numbers object is an initial algebra of X + 1. The dual to this concept is unimaginatively called "coinductive".) This is used in logic and computer science. --Toby [For admin and other information see: http://www.mta.ca/~cat-dist/ ]