From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1936 Path: news.gmane.org!not-for-mail From: Tobias Schroeder Newsgroups: gmane.science.mathematics.categories Subject: Limits Date: Wed, 2 May 2001 15:04:00 +0200 (CEST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-Trace: ger.gmane.org 1241018215 1282 80.91.229.2 (29 Apr 2009 15:16:55 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:16:55 +0000 (UTC) To: Category Mailing List Original-X-From: rrosebru@mta.ca Wed May 2 13:34:18 2001 -0300 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f42FxPX16742 for categories-list; Wed, 2 May 2001 12:59:25 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Sender: tschroed@pc12394 X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by mailserv.mta.ca id f42D46b04865 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 4 Original-Lines: 27 Xref: news.gmane.org gmane.science.mathematics.categories:1936 Archived-At: Hi, whenever I'm teaching basic category theory, students ask me if there is a connection between limits in the categorical sense and limits in the analytical sense, e.g. the limit of a sequence of real numbers. I've never found an answer to this question. So I'd be very grateful for answers to one of the following: - Can the limit of a sequence of real numbers be expressed as a categorical limit (of course it can if the sequence is monotone, but what if it is not)? - Why have people chosen the term "limit" in category theory? (And, by the way, who has defined it first?) Many thanks in advance Tobias -------------------------------------------------------------- Tobias Schröder FB Mathematik und Informatik Philipps-Universität Marburg WWW: http://www.mathematik.uni-marburg.de/~tschroed email: tschroed@mathematik.uni-marburg.de