From: Tobias Schroeder <tschroed@Mathematik.Uni-Marburg.de>
To: Category Mailing List <categories@mta.ca>
Subject: Limits
Date: Wed, 2 May 2001 15:04:00 +0200 (CEST) [thread overview]
Message-ID: <Pine.LNX.4.21.0105021457200.419-100000@pc12394> (raw)
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
next reply other threads:[~2001-05-02 13:04 UTC|newest]
Thread overview: 11+ messages / expand[flat|nested] mbox.gz Atom feed top
2001-05-02 13:04 Tobias Schroeder [this message]
2001-05-02 17:10 ` Limits Andrej Bauer
2001-05-03 12:59 ` Limits Martin Escardo
2001-05-03 23:15 ` Limits Dusko Pavlovic
2001-05-02 17:02 Limits Peter Freyd
2001-05-05 18:58 ` Limits jim stasheff
2001-05-03 23:38 Limits jdolan
2001-05-10 2:18 ` Limits Dusko Pavlovic
2001-05-04 21:04 Limits jdolan
2001-05-06 0:26 ` Limits Ross Street
2001-05-16 22:46 Limits Paul H Palmquist
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