From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6404 Path: news.gmane.org!not-for-mail From: Ondrej Rypacek Newsgroups: gmane.science.mathematics.categories Subject: double 2-categories Date: Tue, 7 Dec 2010 12:59:35 +0000 Message-ID: Reply-To: Ondrej Rypacek NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: dough.gmane.org 1291727409 16719 80.91.229.12 (7 Dec 2010 13:10:09 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Tue, 7 Dec 2010 13:10:09 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Tue Dec 07 14:10:05 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.114]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1PPxIx-0007q6-UN for gsmc-categories@m.gmane.org; Tue, 07 Dec 2010 14:10:04 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:33819) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1PPxIj-0000e7-1K; Tue, 07 Dec 2010 09:09:49 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1PPxIg-0005a7-3R for categories-list@mlist.mta.ca; Tue, 07 Dec 2010 09:09:46 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6404 Archived-At: Dear all, Is there a standard reference for what could be called a double-2-category, by which I mean a double category where the categories of horizontal and vertical arrows are 2-categories ? It would be a special case of a "triple category", I guess, where there are objects, arrows in three directions, cells for each distinct pair of the directions, and cubes surrounded by cells. Many thanks, Ondrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]