From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5971 Path: news.gmane.org!not-for-mail From: Michael Barr Newsgroups: gmane.science.mathematics.categories Subject: Re: non-Hausdoff topology Date: Wed, 7 Jul 2010 13:28:07 -0400 (EDT) Message-ID: References: Reply-To: Michael Barr NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed X-Trace: dough.gmane.org 1278553707 13254 80.91.229.12 (8 Jul 2010 01:48:27 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Thu, 8 Jul 2010 01:48:27 +0000 (UTC) Cc: categories@mta.ca To: Paul Taylor Original-X-From: categories@mta.ca Thu Jul 08 03:48:26 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 4.69) (envelope-from ) id 1OWgDy-0000Ej-Ii for gsmc-categories@m.gmane.org; Thu, 08 Jul 2010 03:48:26 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1OWfkI-0001sM-I5 for categories-list@mta.ca; Wed, 07 Jul 2010 22:17:46 -0300 In-Reply-To: Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5971 Archived-At: Not just in CS, but also central to algebraic geometry: the Zariski topology is almost never hausdorff. But when topology is taught to undergraduates, it is usually for the purposes of analysis and I don't know if we could this point across. Michael On Wed, 7 Jul 2010, Paul Taylor wrote: > Non-Hausdorff topologies, in particular the Scott topology, have been > one of the most important features of mathematics applied to computer > science over the past forty years. > > Surely it is now time for this material to be included in the standard > undergraduate curriculum for general topology in pure mathematics > degree programmes. > > I wonder whether "categories" reader have some comments on their > experience of trying to do this? I am thinking of the possible > reactions from both students and colleagues. > > Paul Taylor > [For admin and other information see: http://www.mta.ca/~cat-dist/ ]