From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5351 Path: news.gmane.org!not-for-mail From: Michael Fourman Newsgroups: gmane.science.mathematics.categories Subject: Re: A well kept secret Date: Fri, 11 Dec 2009 06:51:43 +0000 Message-ID: References: Reply-To: Michael Fourman NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v1077) Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1260575995 23776 80.91.229.12 (11 Dec 2009 23:59:55 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 11 Dec 2009 23:59:55 +0000 (UTC) To: Paul Taylor , Original-X-From: categories@mta.ca Sat Dec 12 00:59:48 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 1NJFOl-0000jY-I0 for gsmc-categories@m.gmane.org; Sat, 12 Dec 2009 00:59:47 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1NJEuQ-0002kW-E6 for categories-list@mta.ca; Fri, 11 Dec 2009 19:28:26 -0400 In-Reply-To: Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5351 Archived-At: On 10 Dec 2009, at 14:49, Paul Taylor wrote: > In this, I stated without proof that the > evaluation map Sigma^X x X --> Sigma is continuous (when the > topology Sigma^X is itself given the Scott topology) iff X is = locally > compact, and in this case Sigma^X is itself locally compact and > obeys the adjunction Yx(-) -| Sigma^(-). The referee quite > reasonably asked for a reference to a proof, but, so far as I can > gather, no such proof exists in the literature. Not in the compendium? Professor Michael Fourman FBCS CITP Informatics Forum 10 Crichton Street Edinburgh EH8 9AB=20 http://homepages.inf.ed.ac.uk/mfourman/ For diary appointments contact : mdunlop2(at)ed-dot-ac-dot-uk +44 131 650 2690 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]