From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4953 Path: news.gmane.org!not-for-mail From: tholen@mathstat.yorku.ca Newsgroups: gmane.science.mathematics.categories Subject: Re: Fundamental Theorem of Category Theory? Date: Mon, 8 Jun 2009 07:44:40 -0400 Message-ID: Reply-To: tholen@mathstat.yorku.ca NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain;charset=ISO-8859-1;format="flowed" Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1244483365 29301 80.91.229.12 (8 Jun 2009 17:49:25 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Mon, 8 Jun 2009 17:49:25 +0000 (UTC) To: Miles Gould , categories@mta.ca Original-X-From: categories@mta.ca Mon Jun 08 19:49:23 2009 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 1MDiyD-0000ey-4T for gsmc-categories@m.gmane.org; Mon, 08 Jun 2009 19:49:17 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MDiSE-0000BC-9G for categories-list@mta.ca; Mon, 08 Jun 2009 14:16:14 -0300 Content-Disposition: inline Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:4953 Archived-At: You could make your choice more comprehensive: Freyd's General and Special Adjoint Functor Theorems give a more complete picture of the fundamental relationship between limit preservation and adjointness. Regards, Walter. Quoting Miles Gould : > On Fri, Jun 05, 2009 at 04:36:23PM -0400, Ellis D. Cooper wrote: >> There are Fundamental Theorems of Arithmetic, Algebra, Calculus, and >> indeed, many more. >> >> My question is, What would be candidates for the Fundamental Theorem >> of Category Theory? > > My suggestion would be the theorem that left adjoints preserve colimits, > and right adjoints preserve limits. > ... [For admin and other information see: http://www.mta.ca/~cat-dist/ ]