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Does Cantor set contain isolated points?

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发表于 2010-10-2 16:04 | 显示全部楼层 |阅读模式
Does Cantor set contain isolated points?
发表于 2010-10-3 04:02 | 显示全部楼层

Does Cantor set contain isolated points?

No. Actually if you try to express numbers of [0,1] in base-3 system, you';ll see C contains exactly all the numbers who can be written as 0.c1c2... with c1,c2,...either 0 or 2.
You can then, for any given c in C, construct a strict monotonic sequence in C that tends to c.
发表于 2010-10-3 07:03 | 显示全部楼层

Does Cantor set contain isolated points?

elimqiu不是笨蛋,不愚蠢,不驴打滚,不狗屎堆逻辑,elimqiu不是白痴,elimqiu不是饭桶,,,,不是网痞,,,

发表于 2010-10-3 08:27 | 显示全部楼层

Does Cantor set contain isolated points?

kindlychung ,本网网友百分之九九不懂外文,则请外文十分了得的你到专门外文网站去逞雄好不好?!
发表于 2010-10-7 16:34 | 显示全部楼层

Does Cantor set contain isolated points?

外文帖子,别往下掉,,,
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