From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6609 Path: news.gmane.org!not-for-mail From: Andrej Bauer Newsgroups: gmane.science.mathematics.categories Subject: Re: Constitutive Structures Date: Tue, 12 Apr 2011 06:42:13 +0200 Message-ID: References: Reply-To: Andrej Bauer NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: dough.gmane.org 1302617260 3885 80.91.229.12 (12 Apr 2011 14:07:40 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Tue, 12 Apr 2011 14:07:40 +0000 (UTC) To: "Ellis D. Cooper" , categories Original-X-From: majordomo@mlist.mta.ca Tue Apr 12 16:07:36 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.4]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Q9eFj-0006Ph-Fu for gsmc-categories@m.gmane.org; Tue, 12 Apr 2011 16:07:35 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:35326) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1Q9eFK-0001vs-Lh; Tue, 12 Apr 2011 11:07:10 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Q9eFH-0002ng-9A for categories-list@mlist.mta.ca; Tue, 12 Apr 2011 11:07:07 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6609 Archived-At: The promised URL for Davorin's thesis "Synthetic Topology and Constructive Metric Spaces" is now available at http://www.fmf.uni-lj.si/storage/19160/PhD_Davorin.pdf Chapter 3 is devoted to an excruciatingly detailed treatment of real numbers. It may give you some ideas on how to get your structures working in a similar way. Other cool things in the thesis are a constructive Urysohn space, and a notion of co-dominance with a symmetric treatment of open and closed sets in constructive topology. With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]