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From: Ross Street <street@ics.mq.edu.au>
To: categories@mta.ca
Subject: Re: Cauchy completeness of Cauchy reals
Date: Fri, 24 Jan 2003 12:34:55 +1100	[thread overview]
Message-ID: <v04210102ba5643a33d15@[137.111.90.45]> (raw)
In-Reply-To: <15918.28389.594290.761117@acws-0054.cs.bham.ac.uk>

With all this talk about real numbers, perhaps readers would be
interested in my little paper (reporting an idea of Steve Schanuel):

	An efficient construction of the real numbers,
	Gazette Australian Math. Soc. 12 (1985) 57-58.

which may be hard to find. However, a recent report of an
undergraduate vacation project can be obtained at

	http://www.maths.mq.edu.au/~street/efficient.pdf

This project convinced me that this construction is a good one for
teaching undergraduates.

Others have had this idea too.  In particular, the following was
recently posted on the math arXiv:

	Norbert A'Campo, A natural construction of the real numbers,
		arXiv:math.GN/0301015 v1  3 Jan 2003.

With regards,
	Ross





  parent reply	other threads:[~2003-01-24  1:34 UTC|newest]

Thread overview: 27+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2003-01-15 14:00 Generalization of Browder's F.P. Theorem? Peter McBurney
2003-01-16 14:04 ` Steven J Vickers
2003-01-16 23:00   ` Prof. Peter Johnstone
2003-01-16 23:05   ` Michael Barr
2003-01-21 18:11     ` Andrej Bauer
2003-01-22 10:13       ` Cauchy completeness of Cauchy reals Martin Escardo
2003-01-22 23:33         ` Dusko Pavlovic
2003-01-23 19:56           ` Category Theory in Biology Peter McBurney
2003-01-24  8:51           ` Cauchy completeness of Cauchy reals Martin Escardo
2003-01-25  2:21             ` Dusko Pavlovic
2003-01-25 16:24               ` Prof. Peter Johnstone
2003-01-27  3:57                 ` Alex Simpson
2003-01-23  6:29         ` Vaughan Pratt
2003-02-04  0:47           ` Vaughan Pratt
2003-02-05 16:06             ` Prof. Peter Johnstone
2003-01-23  9:50         ` Mamuka Jibladze
2003-01-24  1:34         ` Ross Street [this message]
2003-01-24 16:56       ` Dusko Pavlovic
2003-01-24 19:48         ` Dusko Pavlovic
2003-01-27 17:41 Andrej Bauer
2003-01-28  1:50 ` Alex Simpson
2003-01-28  9:44 Andrej Bauer
2003-01-28 20:51 Dusko Pavlovic
2003-01-29  2:00 ` Toby Bartels
2003-01-29  8:35 ` Alex Simpson
2003-02-04  9:15   ` Dusko Pavlovic
2003-02-05 20:56     ` Toby Bartels

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