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| Science Forum Index » Fractals Science Forum » [Fwd: Re: Cantor set question] |
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| Author |
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| Roger Bagula |
 Posted: Wed Dec 08, 2004 11:58 am |
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Guest
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-------- Original Message --------
Subject: Re: Cantor set question
Date: Tue, 07 Dec 2004 15:35:19 -0500
From: "G. A. Edgar" <edgar@math.ohio-state.edu.invalid>
Reply-To: edgar@math.ohio-state.edu.invalid
Organization: Ohio State Univ
Newsgroups: sci.math
References: <1102437980.557253.321310@f14g2000cwb.googlegroups.com>
In article <1102437980.557253.321310@f14g2000cwb.googlegroups.com>,
wrote:
[quote:c41c606b85]Let P be the Cantor set, k and m any positive integers. How does one
prove that no (open) segment of the form
( (3^k + 1)/3^m , (3^k + 2)/3^m )
has a point in common with P? It appears as if segments of this form
are those middle thirds discarded in the construction of P, but how
does one prove formally?
Thanks for all help.
Do you know the characterization of element of P in terms of the base 3
expansion?[/quote:c41c606b85]
--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
--
Respectfully, Roger L. Bagula
tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL : http://home.earthlink.net/~tftn |
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