From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/825 Path: news.gmane.org!not-for-mail From: Categories List Newsgroups: gmane.science.mathematics.categories Subject: BOUNCE categories@mta.ca: Approval required: Date: Fri, 17 Jul 1998 06:09:12 -0300 (ADT) Message-ID: <199807170909.GAA10268@mailserv.mta.ca> NNTP-Posting-Host: main.gmane.org X-Trace: ger.gmane.org 1241017209 27619 80.91.229.2 (29 Apr 2009 15:00:09 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:00:09 +0000 (UTC) To: rrosebru Original-X-From: cat-dist Fri Jul 17 06:09:12 1998 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.8.8/8.8.8) id GAA10268; Fri, 17 Jul 1998 06:09:12 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Lines: 42 Xref: news.gmane.org gmane.science.mathematics.categories:825 Archived-At: >>From rrosebru Fri Jul 17 06:09:10 1998 Received: from emu.dpmms.cam.ac.uk (exim@emu.dpmms.cam.ac.uk [131.111.24.1]) by mailserv.mta.ca (8.8.8/8.8.8) with ESMTP id GAA11712 for ; Fri, 17 Jul 1998 06:09:09 -0300 (ADT) Received: from [131.111.24.25] (helo=owl.dpmms.cam.ac.uk ident=exim) by emu.dpmms.cam.ac.uk with esmtp (Exim 1.950 #4) id 0yx6Vi-0001Mr-00; Fri, 17 Jul 1998 10:09:02 +0100 Received: from ptj by owl.dpmms.cam.ac.uk with local (Exim 1.950 #4) id 0yx6Vh-0005lx-00; Fri, 17 Jul 1998 10:09:01 +0100 Subject: Re: categories: RE: Upper case and lower case To: FEJLINTON/0004142427@MCIMAIL.COM (Fred E J Linton) Date: Fri, 17 Jul 1998 10:09:01 +0100 (BST) Cc: categories@mta.ca In-Reply-To: <98071523384075/0004142427PV1EM@mcimail.com> from "Fred E J Linton" at Jul 15, 98 06:38:40 pm X-Mailer: ELM [version 2.4 PL25] MIME-Version: 1.0 Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit Message-Id: From: "Dr. P.T. Johnstone" > > David Feldman erroneously credits to me an insight that is not mine, but > Peter Johnstone's. Cf. {Topos Theory}, p. 230: > > > ... If we regard two distinct points having the same closure > > as an instance of double vision (and an irreducible closed set with no > > generic point as a species of pink elephant!), then the reason for the > > term "sober space" will be apparent. > > (Thanks, David, but credit where credit is due.) > > -- Fred > I can't claim the credit either: the wording above is mine, but I copied the idea from something written by Bill Lawvere. I can't now find the reference, but I think it may have been in his 1976 Chicago lecture notes on "Variable Sets, Etendu and Variable Structures in Topoi" (of which I no longer have a copy). Peter Johnstone