Show that the cantor set is perfect?

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Show that the cantor set is perfect?

2006-12-06 00:17:02 · 3 answers · asked by Scottie 1 in Science & Mathematics ➔ Mathematics

3 answers

Perfect means that every point is an accumulation point. Just notice that every point can be approximated by 'endpoints'. Those endpoints can be chosen to be different than the approximated point.

2006-12-06 03:38:54 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋

I have a full proof but it requires symbols I can't work out how to type in here. Email me paul@[nospam]funkyfrog.co.uk and I'll send it to you (remove the no spam bit)

2006-12-06 01:06:22 · answer #2 · answered by Status: Paranoia 4 · 0⤊ 1⤋

http://en.wikipedia.org/wiki/Cantor_set

2006-12-06 00:50:01 · answer #3 · answered by James Chan 4 · 0⤊ 1⤋