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A Problem about perfect set

  1. Nov 29, 2011 #1
    Is there any nonempty perfect set in R which contains no rational number?
    I cannot figure it out...:frown:
    I appreciate your solutions!

    PS: A set E is perfect iff E is closed and every point of E is a limit point of E
    Last edited: Nov 29, 2011
  2. jcsd
  3. Nov 29, 2011 #2
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