From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4910 Path: news.gmane.org!not-for-mail From: Panagis Karazeris Newsgroups: gmane.science.mathematics.categories Subject: preprint announcement Date: Mon, 01 Jun 2009 16:15:43 +0300 Message-ID: Reply-To: Panagis Karazeris NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1243873468 20060 80.91.229.12 (1 Jun 2009 16:24:28 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Mon, 1 Jun 2009 16:24:28 +0000 (UTC) To: Original-X-From: categories@mta.ca Mon Jun 01 18:24:26 2009 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 4.50) id 1MBAJB-0004aL-QP for gsmc-categories@m.gmane.org; Mon, 01 Jun 2009 18:24:21 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MB9kI-0004RD-AF for categories-list@mta.ca; Mon, 01 Jun 2009 12:48:18 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:4910 Archived-At: Dear all, I would like to announce that the following preprint is available as http://arxiv.org/abs/0905.4883 as well as from my webpage www.math.upatras.gr/~pkarazer Final Coalgebras in Accessible Categories, by Panagis Karazeris, Apostolos Matzaris and Jiri Velebil Abstract: We give conditions on a finitary endofunctor of a finitely accessible category to admit a final coalgebra. Our conditions always apply to the case of a finitary endofunctor of a locally finitely presentable (l.f.p.) category and they bring an explicit construction of the final coalgebra i= n this case. On the other hand, there are interesting examples of final coalgebras beyond the realm of l.f.p. categories to which our results apply. We rely on ideas developed by Tom Leinster for the study of self-similar objects in topology.=20 Best regards, Panagis Karazeris [For admin and other information see: http://www.mta.ca/~cat-dist/ ]