From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5463 Path: news.gmane.org!not-for-mail From: David Roberts Newsgroups: gmane.science.mathematics.categories Subject: bigroupoid valued functors Date: Mon, 4 Jan 2010 11:09:31 +1030 Message-ID: Reply-To: David Roberts NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: ger.gmane.org 1262574591 23610 80.91.229.12 (4 Jan 2010 03:09:51 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Mon, 4 Jan 2010 03:09:51 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Mon Jan 04 04:09:44 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1NRdKB-0006tV-F2 for gsmc-categories@m.gmane.org; Mon, 04 Jan 2010 04:09:43 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1NRcup-0002XX-9r for categories-list@mta.ca; Sun, 03 Jan 2010 22:43:31 -0400 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5463 Archived-At: Hi all, In the following let Bigpd denote the _category_ of bigroupoids and 2-functors. I have a category C with a full subcategory i:D --> C and a pair of functors P_C: C --> Bigpd P_D: D --> Bigpd and a natural transformation t : P_D => P_C\circ i. The components of t are biequivalences, and in fact (non-strict) inclusions of sub-bigroupoids. I would like to know if it is possible to define a functor P' : C --> Bigpd that agrees (on objects) with P_D on D and with P_C on the rest of C. Cheers, David [For admin and other information see: http://www.mta.ca/~cat-dist/ ]