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| Author |
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| Roger Bagula |
 Posted: Tue Dec 07, 2004 1:42 pm |
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Guest
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-------- Original Message --------
Subject: Cantor set question
Date: 7 Dec 2004 08:46:20 -0800
From: agapito6314@aol.com
Organization: http://groups.google.com
Newsgroups: sci.math
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.
--
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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