From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1256 Path: news.gmane.org!not-for-mail From: Martin Escardo Newsgroups: gmane.science.mathematics.categories Subject: function spaces Date: Fri, 29 Oct 1999 16:25:57 +0100 (BST) Message-ID: <14361.48261.243635.465347@mosstowie.dcs.st-and.ac.uk> 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 1241017680 30216 80.91.229.2 (29 Apr 2009 15:08:00 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:08:00 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Fri Oct 29 15:06:56 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id NAA06062 for categories-list; Fri, 29 Oct 1999 13:39:45 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Received: from pittyvaich.dcs.st-and.ac.uk (pittyvaich.dcs.st-and.ac.uk [138.251.206.55]) by mailserv.mta.ca (8.9.3/8.9.3) with ESMTP id LAA11541 for ; Fri, 29 Oct 1999 11:26:36 -0300 (ADT) X-Received: from dcs.st-and.ac.uk (mosstowie [138.251.206.146]) by pittyvaich.dcs.st-and.ac.uk (8.9.1b+Sun/8.9.1) with ESMTP id PAA15471; Fri, 29 Oct 1999 15:26:34 +0100 (BST) X-Received: (from mhe@localhost) by dcs.st-and.ac.uk (8.9.3/8.8.7) id QAA25659; Fri, 29 Oct 1999 16:25:57 +0100 X-Mailer: VM 6.72 under 21.1 (patch 6) "Big Bend" XEmacs Lucid Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 29 Xref: news.gmane.org gmane.science.mathematics.categories:1256 Archived-At: Dear Comprox and Categories members, Here is a short note that Reinhold Heckmann and I have written. Your comments are welcome, as always. On function spaces in topology ------------------------------ It is the purpose of this expository note to provide a self-contained, elementary and brief development of the fact that the exponentiable topological spaces are precisely the core-compact spaces. The only prerequisite is a basic knowledge of topology (continuous functions, product topology and compactness). We hope that teachers and students of topology will find this useful. As far as we know, there is no such development available in the literature. Although there are one or two embellishments, our methods are certainly not original. We briefly discuss more advanced treatments in the introduction. ------------------------------------------------------------------- http://www.dcs.st-and.ac.uk/~mhe/papers/exponentiablespaces.ps.gz http://www.dcs.st-and.ac.uk/~mhe/papers/exponentiablespaces.dvi.gz http://www.dcs.st-and.ac.uk/~mhe/papers/exponentiablespaces.ps http://www.dcs.st-and.ac.uk/~mhe/papers/exponentiablespaces.dvi ------------------------------------------------------------------- Best regards, Martin & Reinhold