From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2429 Path: news.gmane.org!not-for-mail From: "Robert L. Knighten" Newsgroups: gmane.science.mathematics.categories Subject: Re: Uniform spaces Date: Wed, 27 Aug 2003 17:49:32 -0700 Message-ID: <16205.20892.688285.551954@gargle.gargle.HOWL> References: Reply-To: Robert@Knighten.org (Robert L. Knighten) NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241018653 4126 80.91.229.2 (29 Apr 2009 15:24:13 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:24:13 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Thu Aug 28 08:38:57 2003 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Thu, 28 Aug 2003 08:38:57 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 19sL6x-0000aY-00 for categories-list@mta.ca; Thu, 28 Aug 2003 08:38:43 -0300 In-Reply-To: X-Mailer: VM 7.16 under Emacs 21.2.1 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 21 Original-Lines: 31 Xref: news.gmane.org gmane.science.mathematics.categories:2429 Archived-At: Tom Leinster writes: > Hello, > > Does anyone know of any account of the basic properties of the category of > uniform spaces? I'm after things like (co)limits, cartesian closure, and > (co)limit-preservation by the forgetful functor to Top. Bourbaki gets me > some of the way, but his decision not to use categorical language and > the resulting circumlocutions make it a struggle. > > Thanks, > Tom It was written fairly early in the development of the category theory, but John R. Isbell Uniform Spaces Mathematical Surveys Number 12 American Mathematical Society xi+175pp, 1964 (Providence, Rhode Island) covers much of the territory and definitely with a categorical perspective. -- Bob -- Robert L. Knighten Robert@Knighten.org