From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6235 Path: news.gmane.org!not-for-mail From: David Leduc Newsgroups: gmane.science.mathematics.categories Subject: internal hom of the omega-category of omega-my own attempt Date: Sun, 26 Sep 2010 14:11:05 +0000 Message-ID: Reply-To: David Leduc NNTP-Posting-Host: lo.gmane.org Content-Type: text/plain; charset=ISO-8859-1 X-Trace: dough.gmane.org 1285542359 20772 80.91.229.12 (26 Sep 2010 23:05:59 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sun, 26 Sep 2010 23:05:59 +0000 (UTC) Cc: Urs Schreiber , Ross Street To: categories Original-X-From: majordomo@mlist.mta.ca Mon Sep 27 01:05:58 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 1P00IA-000498-5a for gsmc-categories@m.gmane.org; Mon, 27 Sep 2010 01:05:58 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:41967) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1P00HS-0002Xh-7B; Sun, 26 Sep 2010 20:05:14 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1P00HO-0004rU-S0 for categories-list@mlist.mta.ca; Sun, 26 Sep 2010 20:05:11 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6235 Archived-At: Dear all, I read somewhere that strict omega-categories are well understood (unfortunately, not by me). I hope someone knowledgeable can help me with the problem below. Let C and D be strict omega-categories. One can build the following strict omega-category that I call [C,D] : objects = functor from C to D hom_[C,D] (F, G) = Product_{X in C} hom_D (F X, G X) This construction can be extended to an omega-functor [_,_]. Is [_,_] the internal hom of the omega-category of omega-categories? [For admin and other information see: http://www.mta.ca/~cat-dist/ ]