4. Let {V}EA be a collection of nonempty open sets in Rn that satisfies V n V.a...

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4. Let {V"}"EA be a collection of nonempty open sets in Rn that satisfies V" n V.a = 0 for all a -:f. f3 in A. Prove that A is countable. What happens to this result when "open" is omitted?

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