From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6223 Path: news.gmane.org!not-for-mail From: Ross Street Newsgroups: gmane.science.mathematics.categories Subject: Re: The omega-functor omega-category Date: Sat, 25 Sep 2010 11:40:56 +1000 Message-ID: References: Reply-To: Ross Street NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v936) Content-Type: text/plain; charset=US-ASCII; format=flowed; delsp=yes Content-Transfer-Encoding: 7bit X-Trace: dough.gmane.org 1285451534 15333 80.91.229.12 (25 Sep 2010 21:52:14 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 25 Sep 2010 21:52:14 +0000 (UTC) Cc: David Leduc , categories To: Urs Schreiber Original-X-From: majordomo@mlist.mta.ca Sat Sep 25 23:52:13 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.138]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1OzcfF-0001lO-6Q for gsmc-categories@m.gmane.org; Sat, 25 Sep 2010 23:52:13 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:38078) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1OzceX-000561-QR; Sat, 25 Sep 2010 18:51:29 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1OzceV-0000KH-0t for categories-list@mlist.mta.ca; Sat, 25 Sep 2010 18:51:27 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6223 Archived-At: Dear Urs On 25/09/2010, at 1:13 AM, Urs Schreiber wrote: >> Given two strict omega-categories C and D, how do you define the >> strict omega-category of omega-functors between C and D? > > There is the Crans-Gray tensor product on StrOmegaCat that makes it > biclosed monoidal. I think David was asking about the simpler cartesian closed structure on omega-Cat. This is constructed in The algebra of oriented simplexes, J. Pure Appl. Algebra 49 (1987) 283-335 for example. Ross [For admin and other information see: http://www.mta.ca/~cat-dist/ ]