From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5044 Path: news.gmane.org!not-for-mail From: gcuri@math.unipd.it Newsgroups: gmane.science.mathematics.categories Subject: Re: separable locale Date: Wed, 8 Jul 2009 19:06:27 +0200 Message-ID: Reply-To: gcuri@math.unipd.it NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1247189609 30373 80.91.229.12 (10 Jul 2009 01:33:29 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 10 Jul 2009 01:33:29 +0000 (UTC) To: Thomas Streicher , categories@mta.ca Original-X-From: categories@mta.ca Fri Jul 10 03:33:22 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 1MP4zJ-0000Fc-Vk for gsmc-categories@m.gmane.org; Fri, 10 Jul 2009 03:33:22 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1MP4N0-0003SH-B4 for categories-list@mta.ca; Thu, 09 Jul 2009 21:53:46 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5044 Archived-At: Dear Thomas, as far as I remember, Fourman & Grayson define and study separable locale= s toward the end of "Formal spaces". With best regards Giovanni Curi Quoting Thomas Streicher : > Recently rereading Fourman's "Continuous Truth" I came across the term > "separable locale" but could nowhere find an explanation. Does it mean = a > cHa A for which there exists a countable subset B such that ever a in A= is > the supremum of those b in B with b leq a. This would be the point free > account of "second countable", i.e. having a countable basis. > Of course, second countable T_) spaces are separable, i.e. have a > countable > dense set. > Is this reading the "usual" one? > > Thomas > [For admin and other information see: http://www.mta.ca/~cat-dist/ ]