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Closed Sets

  1. Nov 15, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that the intersection of two closed sets is closed.

    2. Relevant equations

    3. The attempt at a solution
    Let X and Y be closed sets i.e. X and Y are equal to their closure X_ and Y_. Then X[tex]\cap[/tex]Y is equal to X_[tex]\cap[/tex]Y_.
  2. jcsd
  3. Nov 15, 2009 #2


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    And how would that show X intersect Y is closed?
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