From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1925 Path: news.gmane.org!not-for-mail From: Paul Taylor Newsgroups: gmane.science.mathematics.categories Subject: Hausdorff's book Date: Mon, 23 Apr 2001 15:10:13 +0100 Message-ID: <200104231410.PAA30611@koi-pc.dcs.qmw.ac.uk> NNTP-Posting-Host: main.gmane.org X-Trace: ger.gmane.org 1241018207 1225 80.91.229.2 (29 Apr 2009 15:16:47 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:16:47 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Mon Apr 23 12:50:06 2001 -0300 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f3NEvGl10049 for categories-list; Mon, 23 Apr 2001 11:57:16 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 23 Original-Lines: 14 Xref: news.gmane.org gmane.science.mathematics.categories:1925 Archived-At: Does anyone know of an English translation or summary of the chapters (7-9) on topology in the first edition of Hausdorff's "Grundz\"uge der Mengenlehre"? This material was omitted from the later editions, on which the published English translations were based. Problem is, I don't read German, but I could cope with a French version, if such exists but there is no English one. Hausdorff's axiomatisation is based on the family of open neighbourhoods of each point; the usual "finite intersections and arbitrary unions" of open subsets are due, I believe, to Bourbaki. Paul