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Derived vs. Closure pts

  1. Oct 22, 2008 #1
    1. The problem statement, all variables and given/known data
    I am looking for examples of sets that have derived pts that are different from closure pts because I am trying to understand them better.

    Also, if you can , please try to bring the word "base" into this. I do not understand quite fully a base. I know the definition and I know it is similar to a generator. (I hope)


    2. Relevant equations



    3. The attempt at a solution

    I know that {1/n : n in Naturals} has D-pt {0} and closure pts {all set}
     
  2. jcsd
  3. Oct 22, 2008 #2

    Dick

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    I'm not sure you are using very standard terminology. Can you state the definitions of your words? I would say the closure of S={1/n} is S union {0}.
     
  4. Oct 23, 2008 #3
    Your right, I'm sorry. My closure was wrong
     
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