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Complete countable metric space

  1. Jul 2, 2013 #1
    1. The problem statement, all variables and given/known data

    It is clear that a countable complete metric space must have an isolated point,moreover,the set of isolated points is dense.what example is there of a countable complete metric space with points that are not isolated?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 2, 2013 #2
    No need'I found an example.
     
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