From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6701 Path: news.gmane.org!not-for-mail From: Viktor Kronenbourg Newsgroups: gmane.science.mathematics.categories Subject: existence of limit and colimits in product categories Date: Tue, 07 Jun 2011 20:10:13 +0200 Message-ID: Reply-To: Viktor Kronenbourg NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: dough.gmane.org 1307539307 23930 80.91.229.12 (8 Jun 2011 13:21:47 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 8 Jun 2011 13:21:47 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Wed Jun 08 15:21:43 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.30]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1QUIhW-0002J4-78 for gsmc-categories@m.gmane.org; Wed, 08 Jun 2011 15:21:38 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:55613) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1QUIev-00073v-KU; Wed, 08 Jun 2011 10:18:57 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1QUIes-0001CG-J1 for categories-list@mlist.mta.ca; Wed, 08 Jun 2011 10:18:54 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6701 Archived-At: Hi, I am looking for references about the existence of limits and colimits in product categories. More precisely, if A and B are categories, and AxB is the product category: - If all pushouts exist in A and B, do the pushouts exist in AxB? - If not all pushouts exist in A, and all pushout exist in B, do the pushouts exist in AxB only when they exist in A ? - If pushouts exist in A and B, do the pushouts in AxB be the product of the pushout in A and the pushout in B? I have some difficulties to find references about product categories. Maybe the answer is simple but it's not evident for me. Best regards, Viktor Kronenbourg [For admin and other information see: http://www.mta.ca/~cat-dist/ ]