From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1013 Path: news.gmane.org!not-for-mail From: Hongseok Yang Newsgroups: gmane.science.mathematics.categories Subject: Pullback perserving functor Date: Thu, 28 Jan 1999 23:13:03 -0600 (CST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241017475 28979 80.91.229.2 (29 Apr 2009 15:04:35 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:04:35 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Fri Jan 29 04:26:50 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.8.8/8.8.8) id DAA28768 for categories-list; Fri, 29 Jan 1999 03:36:40 -0400 (AST) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 13 Xref: news.gmane.org gmane.science.mathematics.categories:1013 Archived-At: Would someone let me know the answer and the proof or counter example of the following question? Suppose the category C has a pullback for every pair of morphism (f : X -> Y, g : W -> Y). Let K be the full subcategory of the functor category Func(C,Set) whose objects are pullback perserving functors. Is K ccc? (If so, how I can show this?) Thanks, Hongseok