From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5972 Path: news.gmane.org!not-for-mail From: "Robert J. MacG. Dawson" Newsgroups: gmane.science.mathematics.categories Subject: Re: non-Hausdoff topology Date: Wed, 07 Jul 2010 11:27:08 -0300 Message-ID: References: Reply-To: "Robert J. MacG. Dawson" 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: dough.gmane.org 1278553754 13351 80.91.229.12 (8 Jul 2010 01:49:14 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Thu, 8 Jul 2010 01:49:14 +0000 (UTC) Cc: categories@mta.ca To: Paul Taylor Original-X-From: categories@mta.ca Thu Jul 08 03:49:11 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 1OWgEh-0000WJ-6n for gsmc-categories@m.gmane.org; Thu, 08 Jul 2010 03:49:11 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1OWfgW-0001kW-3U for categories-list@mta.ca; Wed, 07 Jul 2010 22:13:52 -0300 In-Reply-To: Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5972 Archived-At: On 7/7/2010 5:31 AM, 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. Dear Paul et al: I certainly learned about non-Hausdorff topologies in the topology course I took as an undergraduate from Michael Edelstein at Dalhousie (using Kelley's "General Topology" as a text). The Zariski topology also appeared in a couple courses, and various instructors recommended the book "Counterexamples in Topology" by Steen and Seebach, which gives a fairly good "tour of the zoo". Nonetheless, thirty year later, I would certainly accept that a modern treatment of the topic would have a somewhat different focus, for precisely the reasons that you give in your first paragraph. -Robert [For admin and other information see: http://www.mta.ca/~cat-dist/ ]