From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8599 Path: news.gmane.org!not-for-mail From: Jiri Adamek Newsgroups: gmane.science.mathematics.categories Subject: A preprint on locally presentable categories available Date: Fri, 17 Apr 2015 14:24:31 +0200 (CEST) Message-ID: Reply-To: Jiri Adamek NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; format=flowed; charset=UTF-8 Content-Transfer-Encoding: 8BIT X-Trace: ger.gmane.org 1429383891 26034 80.91.229.3 (18 Apr 2015 19:04:51 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Sat, 18 Apr 2015 19:04:51 +0000 (UTC) Cc: Jiri Rosicky To: categories net Original-X-From: majordomo@mlist.mta.ca Sat Apr 18 21:04:43 2015 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.127]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1YjY2k-0000y4-SW for gsmc-categories@m.gmane.org; Sat, 18 Apr 2015 21:04:43 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:47493) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1YjY1r-00066Q-13; Sat, 18 Apr 2015 16:03:47 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1YjY1p-0005cv-E9 for categories-list@mlist.mta.ca; Sat, 18 Apr 2015 16:03:45 -0300 Content-ID: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8599 Archived-At: We want to announce our preprint available as arXiv:1504.03886 On reflective subcategories of localy presentable categories ------------------------------------------------------------ ABSTRACT: Are all subcategories of locally finitely presentable categories that are closed under limits and ??-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case ??=???0 the answer is affirmative also for all iso-full subcategories, i.e., those containing with every pair of objects all isomorphisms between them. We discuss a possible generalization of that result to an arbitrary ??. Jiri Adamek and Jiri Rosicky xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx alternative e-mail address (in case reply key does not work): J.Adamek@tu-bs.de xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx [For admin and other information see: http://www.mta.ca/~cat-dist/ ]