If A1,A2,......An, is a collection of n number of sets in a metric space, prove that their intersection is open.
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Originally Posted by ajibolaadebisi If A1,A2,......An, is a collection of n number of sets in a metric space, prove that their intersection is open. As written that statement is false. If each of the is closed and then is closed. Did you mean each of the is open?
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