From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2087 Path: news.gmane.org!not-for-mail From: Oswald Wyler Newsgroups: gmane.science.mathematics.categories Subject: Reference wanted Date: Wed, 8 Jan 2003 17:52:44 -0500 (EST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241018399 2369 80.91.229.2 (29 Apr 2009 15:19:59 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:19:59 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Wed Jan 8 20:54:55 2003 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Wed, 08 Jan 2003 20:54:55 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 18WQwJ-0000g0-00 for categories-list@mta.ca; Wed, 08 Jan 2003 20:52:55 -0400 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 12 Original-Lines: 11 Xref: news.gmane.org gmane.science.mathematics.categories:2087 Archived-At: For a category E with finite limits, every morphism f:A\to B induces a pullback functor f^*:E/B\to E/A of slice categories, with a left adjoint given by u:a\to a' \mapsto u:fa\to fa'. It has been well known since the late 1960's that this left adjoint is comonadic, but who proved this, and where?